Guided course 7:54Solving Systems of Equations - Matrices (Row-Echelon Form)Patrick Ford339views11rank
Guided course 5:58Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)Patrick Ford300views4rank
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+3144views2rank
Multiple ChoicePerform the indicated Row Operation.SWAP R1↔R2R_1\leftrightarrow R_2R1↔R2151views1rank
Multiple ChoicePerform the indicated Row Operation.ADD R1+2⋅R3→R1R_1+2\cdot R_3\rightarrow R_1R1+2⋅R3→R1122views1rank
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=5208views
Multiple ChoiceWrite the system of equations represented by the augmented matrix shown.237views1rank
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 195views
Textbook QuestionIn Exercises 1–2, perform each matrix row operation and write the new matrix.559views
Textbook QuestionHow many rows and how many columns does this matrix have? What is its dimension? <4x2 Matrix>145views
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) 200views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 202views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.422views
Textbook QuestionWhat is the augmented matrix of the following system? -3x + 5y = 2 6x + 2y = 7227views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.336views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.249views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 362views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -4 times row 1 added to row 2215views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 248views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2162views
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. 182views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 2 times row 1 added to row 2138views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: b. A - B 4 1 5 9 A = B = 3 2 0 7170views
Textbook QuestionFind the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.163views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: d. - 3A + 2B 4 1 5 9 A = B = 3 2 0 7167views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2136views
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. 194views
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 - 4159views
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 - 4147views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4161views
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 = 0221views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 200views
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 = 0162views
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+D190views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: a. A + B A = [6 2 - 3], B = [4 - 2 3]177views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A A = [6 2 - 3], B = [4 - 2 3]197views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 165views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>211views
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 - 2160views
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-A202views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 195views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>221views
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+2D259views
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. 347views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve.176views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. See Examples 1 and 2. =151views
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 = B169views
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)273views
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 = -1231views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 248views
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 = -6147views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 270views
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. BD266views
Textbook QuestionSolve each system, using the method indicated. 5x + 2y = -10 3x - 5y = -6 (Gauss-Jordan)152views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 273views
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= 0280views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 203views
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 = 0306views
Textbook QuestionSolve each system, using the method indicated. 3x + y = -7 x - y = -5 (Gaussian elimination)144views
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 = -14196views
Textbook QuestionSolve each system, using the method indicated. x - z = -3 y + z = 6 2x - 3z = -9 (Gauss-Jordan)139views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 184views
Textbook QuestionIn Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4168views
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 = -13197views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 216views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 379views
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 0173views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 209views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 188views
Textbook QuestionFind the quadratic function f(x) = ax² + bx + c for which ƒ( − 2) = −4, ƒ(1) = 2, and f(2) = 0.232views
Textbook QuestionFind each sum or difference, if possible. See Examples 2 and 3. <1x4 Matrix> - <1x4 Matrix>148views
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) = 12.145views
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.)188views
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)226views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. [2x2 matrix] = [2x2 matrix]135views