Guided course 7:54Solving Systems of Equations - Matrices (Row-Echelon Form)Patrick Ford231views8rank
Guided course 5:58Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)Patrick Ford221views3rank
Multiple ChoiceWrite the equations in standard form, then represent the system using an augmented matrix.3x+5y−9=03x+5y-9=03x+5y−9=08x=−4y+38x=-4y+38x=−4y+3127views1rankHas a video solution.
Multiple ChoicePerform the indicated Row Operation.SWAP R1↔R2R_1\leftrightarrow R_2R1↔R2136views1rankHas a video solution.
Multiple ChoicePerform the indicated Row Operation.ADD R1+2⋅R3→R1R_1+2\cdot R_3\rightarrow R_1R1+2⋅R3→R1116views1rankHas a video solution.
Multiple ChoiceSolve the system of equations by using row operations to write a matrix in REDUCED row-echelon form.4x+2y+3z=64x+2y+3z=64x+2y+3z=6x+y+z=3x+y+z=3x+y+z=35x+y+2z=55x+y+2z=55x+y+2z=5160viewsHas a video solution.
Multiple ChoiceWrite the system of equations represented by the augmented matrix shown.164views1rankHas a video solution.
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 171viewsHas a video solution.
Textbook QuestionIn Exercises 1–2, perform each matrix row operation and write the new matrix.495viewsHas a video solution.
Textbook QuestionHow many rows and how many columns does this matrix have? What is its dimension? <4x2 Matrix>127viewsHas a video solution.
Textbook QuestionIn 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) 176viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 179viewsHas a video solution.
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.370viewsHas a video solution.
Textbook QuestionWhat is the augmented matrix of the following system? -3x + 5y = 2 6x + 2y = 7179viewsHas a video solution.
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.287viewsHas a video solution.
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.222viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 267viewsHas a video solution.
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -4 times row 1 added to row 2182viewsHas a video solution.
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 205viewsHas a video solution.
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2135viewsHas a video solution.
Textbook QuestionIn 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. 160viewsHas a video solution.
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 2 times row 1 added to row 2116viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: b. A - B 4 1 5 9 A = B = 3 2 0 7150viewsHas a video solution.
Textbook QuestionFind the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.138viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: d. - 3A + 2B 4 1 5 9 A = B = 3 2 0 7147viewsHas a video solution.
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2115viewsHas a video solution.
Textbook QuestionIn 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. 158viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: a. A + B 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4145viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: d. - 3A + 2B 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4127viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4146viewsHas a video solution.
Textbook QuestionWrite 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 = 0174viewsHas a video solution.
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 170viewsHas a video solution.
Textbook QuestionWrite 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 = 0140viewsHas a video solution.
Textbook QuestionIn 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+D167viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: a. A + B A = [6 2 - 3], B = [4 - 2 3]153viewsHas a video solution.
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A A = [6 2 - 3], B = [4 - 2 3]180viewsHas a video solution.
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 141viewsHas a video solution.
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>167viewsHas a video solution.
Textbook QuestionIn 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 - 2146viewsHas a video solution.
Textbook QuestionIn 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-A180viewsHas a video solution.
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 164viewsHas a video solution.
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>170viewsHas a video solution.
Textbook QuestionIn 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+2D240viewsHas a video solution.
Textbook QuestionIn 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. 283viewsHas a video solution.
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve.130viewsHas a video solution.
Textbook QuestionFind the values of the variables for which each statement is true, if possible. See Examples 1 and 2. =130viewsHas a video solution.
Textbook QuestionIn 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 = B148viewsHas a video solution.
Textbook QuestionIn 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)240viewsHas a video solution.
Textbook QuestionUse 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 = -1181viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 216viewsHas a video solution.
Textbook QuestionUse 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. 3x + 2y = -9 2x - 5y = -6117viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 227viewsHas a video solution.
Textbook QuestionIn 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. BD246viewsHas a video solution.
Textbook QuestionSolve each system, using the method indicated. 5x + 2y = -10 3x - 5y = -6 (Gauss-Jordan)131viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 229viewsHas a video solution.
Textbook QuestionUse 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. 6x - 3y - 4 = 0 3x + 6y - 7= 0198viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 173viewsHas a video solution.
Textbook QuestionUse 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. 2x - y = 6 4x - 2y = 0217viewsHas a video solution.
Textbook QuestionSolve each system, using the method indicated. 3x + y = -7 x - y = -5 (Gaussian elimination)125viewsHas a video solution.
Textbook QuestionUse 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. 3/8x - 1/2y = 7/8 -6x + 8y = -14160viewsHas a video solution.
Textbook QuestionSolve each system, using the method indicated. x - z = -3 y + z = 6 2x - 3z = -9 (Gauss-Jordan)120viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 161viewsHas a video solution.
Textbook QuestionIn Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4149viewsHas a video solution.
Textbook QuestionUse 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 - 5z = -18 3x - 3y + z = 6 x + 3y - 2z = -13140viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 183viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 334viewsHas a video solution.
Textbook QuestionIn 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 0149viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 176viewsHas a video solution.
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 164viewsHas a video solution.
Textbook QuestionFind the quadratic function f(x) = ax² + bx + c for which ƒ( − 2) = −4, ƒ(1) = 2, and f(2) = 0.207viewsHas a video solution.
Textbook QuestionFind each sum or difference, if possible. See Examples 2 and 3. <1x4 Matrix> - <1x4 Matrix>129viewsHas a video solution.
Textbook QuestionFind the cubic function f(x) = ax³ + bx² + cx + d for which ƒ( − 1) = 0, ƒ(1) = 2, ƒ(2) = 3, and ƒ(3) = 12.132viewsHas a video solution.
Textbook QuestionSolve 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.)171viewsHas a video solution.
Textbook QuestionIn 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)193viewsHas a video solution.
Textbook QuestionLet A = and B = . Find each of the following. See Examples 2 –4. (3/2)B117viewsHas a video solution.
Textbook QuestionFind each product, if possible. See Examples 5–7. <4x2 Matrix>117viewsHas a video solution.
Textbook QuestionFind the values of the variables for which each statement is true, if possible. [2x2 matrix] = [2x2 matrix]120viewsHas a video solution.