7. Systems of Equations & Matrices

Introduction to Matrices

7. Systems of Equations & Matrices

Introduction to Matrices

Guided videos.

Learn with Patrick

Go to the course

Guided course

4:35

Introduction to Matrices

Performing Row Operations on Matrices

Solving Systems of Equations - Matrices (Row-Echelon Form)

Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)

Showing 6 of 6 videos

Additional 1 creators.

Learn with other creators

Gaussian Elimination with Back Substitution

12:45

Gaussian Elimination with Back Substitution

Mario's Math Tutoring

Solve linear systems using Gaussian elimination with back substitution

Gaussian Elimination & Row Echelon Form

The Organic Chemistry Tutor

714

views

❤︎² Gaussian Elimination.. How? (mathbff)

09:54

❤︎² Gaussian Elimination.. How? (mathbff)

mathbff

423

views

Practice this topic

Multiple Choice

Write the equations in standard form, then represent the system using an augmented matrix.

$3x+5y-9=0$

$8x=-4y+3$

Perform the indicated Row Operation.

SWAP $R_1\leftrightarrow R_2$

Perform the indicated Row Operation.

ADD $R_1+2\cdot R_3\rightarrow R_1$

Solve the system of equations by using row operations to write a matrix in REDUCED row-echelon form.

$4x+2y+3z=6$

$x+y+z=3$

$5x+y+2z=5$

227

views

Multiple Choice

Write the system of equations represented by the augmented matrix shown.

In Exercises 1–8, write the augmented matrix for each system of linear equations.

204

views

Textbook Question

In Exercises 1–2, perform each matrix row operation and write the new matrix.

577

views

Textbook Question

How many rows and how many columns does this matrix have? What is its dimension? <4x2 Matrix>

152

views

Textbook Question

In Exercises 1 - 4, a. Give the order of each matrix, b. If A = [a_ij], identify a_32 and a_23, or explain why identification is not possible, 4 - 7 5 - 6 8 - 1 (please enclose the values above in a matrix symbol)

209

views

Textbook Question

In Exercises 1–8, write the augmented matrix for each system of linear equations.

214

views

Textbook Question

In Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

440

views

Textbook Question

What is the augmented matrix of the following system? -3x + 5y = 2 6x + 2y = 7

243

views

Textbook Question

In Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

349

views

Textbook Question

In Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

264

views

Textbook Question

In Exercises 1–8, write the augmented matrix for each system of linear equations.

382

views

Textbook Question

Use the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -4 times row 1 added to row 2

223

views

Textbook Question

In Exercises 1–8, write the augmented matrix for each system of linear equations.

262

views

Textbook Question

Use the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2

170

views

Textbook Question

In Exercises 9-12, write the system of linear equations represented by the augmented matrix. Use x, y, and z, or, if necessary, w, x, y, and z, for the variables.

191

views

Textbook Question

Use the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 2 times row 1 added to row 2

145

views

Textbook Question

In Exercises 9 - 16, find the following matrices: b. A - B 4 1 5 9 A = B = 3 2 0 7

177

views

Textbook Question

Find the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.

171

views

Textbook Question

In Exercises 9 - 16, find the following matrices: d. - 3A + 2B 4 1 5 9 A = B = 3 2 0 7

174

views

Textbook Question

Use the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2

146

views

Textbook Question

In Exercises 9-12, write the system of linear equations represented by the augmented matrix. Use x, y, and z, or, if necessary, w, x, y, and z, for the variables.

209

views

Textbook Question

In Exercises 9 - 16, find the following matrices: a. A + B 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4

168

views

Textbook Question

In Exercises 9 - 16, find the following matrices: d. - 3A + 2B 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4

158

views

Textbook Question

In Exercises 9 - 16, find the following matrices: c. - 4A 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4

168

views

Textbook Question

Write the augmented matrix for each system and give its dimension. Do not solve. 2x + y + z - 3 = 0 3x - 4y + 2z + 7 = 0 x + y + z - 2 = 0

235

views

Textbook Question

In Exercises 13–18, perform each matrix row operation and write the new matrix.

210

views

Textbook Question

Write the augmented matrix for each system and give its dimension. Do not solve. 4x - 2y + 3z - 4 = 0 3x + 5y + z - 7 = 0 5x - y + 4z - 7 = 0

175

views

Textbook Question

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. A+D

200

views

Textbook Question

In Exercises 9 - 16, find the following matrices: a. A + B A = [6 2 - 3], B = [4 - 2 3]

187

views

Textbook Question

In Exercises 9 - 16, find the following matrices: c. - 4A A = [6 2 - 3], B = [4 - 2 3]

204

views

Textbook Question

In Exercises 13–18, perform each matrix row operation and write the new matrix.

173

views

Textbook Question

Write the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>

219

views

Textbook Question

In Exercises 9 - 16, find the following matrices: d. - 3A + 2B 2 - 10 - 2 6 10 - 2 A = 14 12 10 B = 0 - 12 - 4 4 - 2 2 - 5 2 - 2

170

views

Textbook Question

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. D-A

213

views

Textbook Question

In Exercises 13–18, perform each matrix row operation and write the new matrix.

207

views

Textbook Question

Write the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>

235

views

Textbook Question

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. 3A+2D

271

views

Textbook Question

In Exercises 19–20, a few steps in the process of simplifying the given matrix to row-echelon form, with 1s down the diagonal from upper left to lower right, and 0s below the 1s, are shown. Fill in the missing numbers in the steps that are shown.

363

views

Textbook Question

Write the system of equations associated with each augmented matrix . Do not solve.

192

views

Textbook Question

Find the values of the variables for which each statement is true, if possible. See Examples 1 and 2. =

158

views

Textbook Question

In Exercises 17 - 26, let - 3 - 7 - 5 - 1 A = 2 - 9 and B = 0 0 5 0 3 - 4 Solve each matrix equation for X. 2X + A = B

178

views

Textbook Question

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. -5(A+D)

288

views

Textbook Question

Use the Gauss-Jordan method to solve each system of equations. For systems in two variables with infinitely many solutions, write the solution with y arbitrary. For systems in three variables with infinitely many solutions, write the solution set with z arbitrary. See Examples 1-4. x + y = 5 x - y = -1

244

views

Textbook Question

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

283

views

Textbook Question

In Exercises 14–27, perform the indicated matrix operations given that and D are defined as follows. If an operation is not defined, state the reason. BD

277

views

Textbook Question

Solve each system, using the method indicated. 5x + 2y = -10 3x - 5y = -6 (Gauss-Jordan)

160

views

Textbook Question

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

Solve each system, using the method indicated. 3x + y = -7 x - y = -5 (Gaussian elimination)

153

views

Textbook Question

Solve for X in the matrix equation 3X+A = B where

Solve each system, using the method indicated. x - z = -3 y + z = 6 2x - 3z = -9 (Gauss-Jordan)

148

views

Textbook Question

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

193

views

Textbook Question

In Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

227

views

Textbook Question

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

393

views

Textbook Question

In Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 4 2 2 3 4 A = 6 1 B = 3 5 - 1 - 2 0

180

views

Textbook Question

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

226

views

Textbook Question

In Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.

202

views

Textbook Question

Find the quadratic function f(x) = ax² + bx + c for which ƒ( − 2) = −4, ƒ(1) = 2, and f(2) = 0.

242

views

Textbook Question

Find each sum or difference, if possible. See Examples 2 and 3. <1x4 Matrix> - <1x4 Matrix>

160

views

Textbook Question

Find the cubic function f(x) = ax³ + bx² + cx + d for which ƒ( − 1) = 0, ƒ(1) = 2, ƒ(2) = 3, and ƒ(3) = 12.

154

views

Textbook Question

Solve the system: (Hint: Let A = ln w, B = ln x, C = ln y, and D = ln z. Solve the system for A, B, C, and D. Then use the logarithmic equations to find w, x, y, and z.)

198

views

Textbook Question

In Exercises 37 - 44, perform the indicated matrix operations given that A, B and C are defined as follows. If an operation is not defined, state the reason. 4 0 5 1 1 - 1 A = - 3 5 B = C = 0 1 - 2 - 2 - 1 1 A(BC)

236

views

Textbook Question

Let A = and B = . Find each of the following. See Examples 2 –4. (3/2)B

138

views

Textbook Question

Find each product, if possible. See Examples 5–7. <4x2 Matrix>

145

views

Textbook Question

Find the values of the variables for which each statement is true, if possible. [2x2 matrix] = [2x2 matrix]

143

views

Textbook Question

Solve by eliminating variables:

views

Textbook Question

Solve each system in Exercises 25–26. (x+3)/2 − (y−1)/2 + (z+2)/4 = 3/2, (x−5)/2 + (y+1)/3 − z/4 = − 25/6, (x−3)/4 − (y+1)/2 + (z−3)/2= − 5/2

views

Textbook Question

Solve each system in Exercises 25–26. (x+2)/6 − (y+4)/3 + z/2 = 0, (x+1)/2 + (y−1)/2 − z/4 = 9/2, (x−5)/4 + (y+1)/3 + (z−2)/2 = 19/4

views

Textbook Question

Exercises 57–59 will help you prepare for the material covered in the next section. Solve: A + B = 3, 2A - 2B + C = 17, 4A - 2C =14

views

Textbook Question

In Exercises 19–22, find the quadratic function y = ax^2+bx+c whose graph passes through the given points. (−1,−4), (1,−2), (2, 5)

views

Textbook Question

In Exercises 19–22, find the quadratic function y = ax^2+bx+c whose graph passes through the given points. (−1, 6), (1, 4), (2, 9)

views

Textbook Question

Solve each system in Exercises 5–18. 3(2x+y)+5z=−1, 2(x−3y+4z)=−9, 4(1+x)=−3(z−3y)

views

Textbook Question

Solve each system in Exercises 5–18. x+y=−4, y−z=1, 2x+y+3z=−21

views

Textbook Question

Solve each system in Exercises 5–18. 2x+y=2, x+y−z=4, 3x+2y+z=0

views

Textbook Question

Solve each system in Exercises 5–18. 2x−4y+3z=17, x+2y−z=0, 4x−y−z=6

views

Textbook Question

Solve each system in Exercises 5–18. 3x+2y−3z=−2, 2x−5y+2z=−2, 4x−3y+4z= 10

views

Textbook Question

Solve each system in Exercises 5–18. 4x−0y+2z=11, x+2y−z=−1, 2x+2y−3z=−1

views

Textbook Question

Solve each system in Exercises 5–18. x+0y+2z=11, x+0y+3z=14, x+2y−0z=5

views

Textbook Question

In Exercises 1–4, determine if the given ordered triple is a solution of the system. (4, 1, 2) x−2y=2, 2x+3y=11, y−4z=−7

views

Textbook Question

In Exercises 1–4, determine if the given ordered triple is a solution of the system. (2,−1, 3) x+ y+0z=4, x−2y−0z=1, 2x−y−2z=−1

152

views

Textbook Question

Find the quadratic function y = ax^2 + bx + c whose graph passes through the points (1, 4), (3, 20), and (-2, 25).

217

views

Textbook Question

Solve each system in Exercises 12–13. The is a piecewise function

views

Textbook Question

Solve each problem. See Examples 5 and 9. The sum of the measures of the angles of any triangle is 180°. In a certain triangle, the largest angle measures 55° less than twice the medium angle, and the smallest angle measures 25° less than the medium angle. Find the measures of all three angles.

views

Textbook Question

Solve each problem. See Examples 5 and 9. Solve the system of equations (4), (5), and (6) from Example 9. 25x + 40y + 20z = 2200 (4) 4x + 2y + 3z = 280 (5) 3x + 2y + z = 180 (6)

views

Textbook Question

Solve each problem. See Examples 5 and 9. A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9 more than the number of ones. The total value of the money is $351. How many of each denomination of bill are there?

views

Textbook Question

Solve each problem. See Examples 5 and 9. A sparkling-water distributor wants to make up 300 gal of sparkling water to sell for $6.00 per gallon. She wishes to mix three grades of water selling for $9.00, $3.00, and $4.50 per gallon, respectively. She must use twice as much of the $4.50 water as of the $3.00 water. How many gallons of each should she use?

views

Textbook Question

Find the partial fraction decomposition of 4x²+5x-9/(x³- 6x-9)

103

views

Textbook Question

Find the partial fraction decomposition for 1/x(x+1) and use the result to find the following sum:

views

Textbook Question

In Exercises 43–46, perform each long division and write the partial fraction decomposition of the remainder term. (x^4-x^2+2)/(x^3-x^2)

110

views

Textbook Question

In Exercises 43–46, perform each long division and write the partial fraction decomposition of the remainder term. (x^5+2)/(x^2-1)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (4x^2+3x+14)/(x^3 - 8)

112

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (x^3-4x^2+9x-5)/(x^2 -2x+3)^2

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. x^3+x^2+2/(x² + 2)²

135

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 6x^2-x+1/(x^3 + x²+x+1)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. x+4/x² (x²+4)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression.5x^2+6x+3/(x + 1)(x² + 2x + 2)

108

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 5x^2 -6x+7/(x − 1) (x² + 1)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. x^2/(x − 1)² (x + 1)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. x²+2x+7/x(x − 1)^2

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (x^2-6x+3)/(x − 2)³

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (6x-11)/(x − 1)²

110

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (2x^2 -18x -12)/x³- 4x

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 4x² - 7x - 3/(x^3 -x)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 4x^2+13x-9/x (x − 1)(x+3)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. x/(x^2 +2x -3)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 4/(2x^2 -5x -3)

108

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 9x+21/(x² + 2x - 15)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (7x-4)/(x^2-x-12)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. (3x +50)/(x -9)(x +2)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. 1/x(x-1)

views

Textbook Question

In Exercises 9–42, write the partial fraction decomposition of each rational expression. x/(x-2)(x-3)

views

Textbook Question

In Exercises 1–8, write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. (7x^2 -9x+3)/(x²+7)²

161

views

Textbook Question

In Exercises 1–8, write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. x^3 + x² /(x² + 4)^2

104

views

Textbook Question

In Exercises 1–8, write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. 5x²-6x+7 /(x − 1) (x² + 1)

views

Textbook Question

In Exercises 1–8, write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. (3x+16)/(x + 1) (x − 2)²

views

Textbook Question

In Exercises 1–8, write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. (6x^2-14x-27)/(x+2) (x − 3)^2

views

Textbook Question

In Exercises 1–8, write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants.(11x - 10)/(x − 2) (x + 1)

views

Textbook Question

Exercises 57–59 will help you prepare for the material covered in the next section. Add: (5x−3)/(x^2+1) + 2x/(x^2+1)^2.

views

Textbook Question

Exercises 57–59 will help you prepare for the material covered in the next section. Subtract: 3/(x−4) − 2/(x+2).

views

Textbook Question

In Exercises 16–24, write the partial fraction decomposition of each rational expression. (4x^3 + 5x^2 + 7x - 1)/(x^2 + x + 1)^2

168

views

Textbook Question

In Exercises 16–24, write the partial fraction decomposition of each rational expression. (7x^2 - 7x + 23)/(x - 3)(x^2 + 4)

167

views

Textbook Question

In Exercises 16–24, write the partial fraction decomposition of each rational expression.3x/(x - 2)(x^2 + 1)

173

views

Textbook Question

In Exercises 16–24, write the partial fraction decomposition of each rational expression. (4x^2 - 3x - 4)/x(x + 2)(x - 1)

165

views

Textbook Question

In Exercises 16–24, write the partial fraction decomposition of each rational expression. x/(x - 3)(x + 2)

101

views

Textbook Question

Answer each question. By what expression should we multiply each side of 5/((3x(2x + 1)) = A/(3x) + B/(2x + 1) so that there are no fractions in the equation?

views

Textbook Question

Answer each question. By what expression should we multiply each side of (3x - 2)/(x + 4)(3x^2 + 1) = A/(x + 4) + (Bx + C)/(3x^2 + 1) so that there are no fractions in the equation?

views

Textbook Question

Answer each question. By what expression should we multiply each side of (3x - 1)/(x(2x^2 + 1)^2) = A/x + (Bx + C)/(2x^2 + 1) + (Dx + E)/(2x^2 + 1)^2 so that there are no fractions in the equation?

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. 5/(3x(2x + 1))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (4x + 2)/((x + 2)(2x - 1))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. x/(x^2 + 4x - 5)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. 4/(x(1 - x))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (4x^2 - x - 15)/(x(x + 1)(x - 1))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (2x + 1)/(x + 2)^3

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (x^2)/(x^2 + 2x + 1)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (x^3 + 4)/(9x^3 - 4x)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (-3)/(x^2(x^2 + 5))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (3x - 2)/((x + 4)(3x^2 + 1))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. 1/(x(2x + 1)(3x^2 + 4))

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (2x^5 + 3x^4 - 3x^3 - 2x^2 + x)/(2x^2 + 5x + 2)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (3x - 1)/(x(2x^2 + 1)^2)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (-x^4 - 8x^2 + 3x - 10)/((x + 2)(x^2 + 4)^2)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (x^2)/(x^4 - 1)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. See Examples 1–4. (4x^2 - 3x - 4)/(x^3 + x^2 - 2x)

views

Textbook Question

Find the partial fraction decomposition for each rational expression. 5-2x / (x^2 + 2)(x - 1)

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. w + 2x + 3y - z = 7 2x - 3y + z = 4 w - 4x + y = 3

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. w + x - y + z = - 2 2w - x + 2y - z = 7 - w + 2x + y + 2z = - 1

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. x + y - 2z = 2 3x - y - 6z = - 7

104

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. x + 2y + 3z = 5 y - 5z = 0

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. 2x + y - z = 2 3x + 3y - 2z = 3

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. w - 3x + y - 4z = 4 - 2w + x + 2y = - 2 3w - 2x + y - 6z = 2 - w + 3x + 2y - z = - 6

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. 2w + x - y = 3 w - 3x + 2y = - 4 3w + x - 3y + z = 1 w + 2x - 4y - z = - 2

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. w - 2x - y - 3z = - 9 w + x - y = 0 3w + 4x + z = 6 2x - 2y + z = 3

views

rank

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. 8x + 5y + 11z = 30 - x - 4y + 2z = 3 2x - y + 5z = 12

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. 3x + 4y + 2z = 3 4x - 2y - 8z = - 4 x + y - z = 3

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. 5x + 8y - 6z = 14 3x + 4y - 2z = 8 x + 2y - 2z = 3

views

Textbook Question

In Exercises 1 - 24, use Gaussian Eliminaion to find the complete solution to each system of equations, or show that none exists. 5x + 12y + z = 10 2x + 5y + 2z = - 1 x + 2y - 3z = 5

views

Textbook Question

In Exercises 8–11, use Gaussian elimination to find the complete solution to each system, or show that none exists.

174

views

Textbook Question

In Exercises 8–11, use Gaussian elimination to find the complete solution to each system, or show that none exists.

views

Textbook Question

In Exercises 8–11, use Gaussian elimination to find the complete solution to each system, or show that none exists.

125

views

Showing 170 of 170 practice

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

7. Systems of Equations & Matrices

Introduction to Matrices

Learn with Patrick

Learn with other creators

Practice this topic