Guided course 7:54Solving Systems of Equations - Matrices (Row-Echelon Form)Patrick Ford307views11rank
Guided course 5:58Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)Patrick Ford279views4rank
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+3135views2rank
Multiple ChoicePerform the indicated Row Operation.SWAP R1↔R2R_1\leftrightarrow R_2R1↔R2150views1rank
Multiple ChoicePerform the indicated Row Operation.ADD R1+2⋅R3→R1R_1+2\cdot R_3\rightarrow R_1R1+2⋅R3→R1121views1rank
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=5193views
Multiple ChoiceWrite the system of equations represented by the augmented matrix shown.214views1rank
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 187views
Textbook QuestionIn Exercises 1–2, perform each matrix row operation and write the new matrix.539views
Textbook QuestionHow many rows and how many columns does this matrix have? What is its dimension? <4x2 Matrix>139views
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) 189views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 195views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.399views
Textbook QuestionWhat is the augmented matrix of the following system? -3x + 5y = 2 6x + 2y = 7209views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.319views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.238views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 333views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -4 times row 1 added to row 2205views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 235views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2153views
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. 174views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 2 times row 1 added to row 2128views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: b. A - B 4 1 5 9 A = B = 3 2 0 7159views
Textbook QuestionFind the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.152views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: d. - 3A + 2B 4 1 5 9 A = B = 3 2 0 7159views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2128views
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. 185views
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 - 4153views
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 - 4139views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4156views
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 = 0204views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 189views
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 = 0153views
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+D180views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: a. A + B A = [6 2 - 3], B = [4 - 2 3]166views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A A = [6 2 - 3], B = [4 - 2 3]189views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 157views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>195views
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 - 2153views
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-A190views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 184views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>203views
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+2D251views
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. 331views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve.161views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. See Examples 1 and 2. =143views
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 = B161views
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)262views
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 = -1217views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 234views
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 = -6137views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 251views
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. BD256views
Textbook QuestionSolve each system, using the method indicated. 5x + 2y = -10 3x - 5y = -6 (Gauss-Jordan)143views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 256views
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= 0256views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 193views
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 = 0272views
Textbook QuestionSolve each system, using the method indicated. 3x + y = -7 x - y = -5 (Gaussian elimination)136views
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 = -14184views
Textbook QuestionSolve each system, using the method indicated. x - z = -3 y + z = 6 2x - 3z = -9 (Gauss-Jordan)131views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 177views
Textbook QuestionIn Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4161views
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 = -13176views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 203views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 360views
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 0164views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 195views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 175views
Textbook QuestionFind the quadratic function f(x) = ax² + bx + c for which ƒ( − 2) = −4, ƒ(1) = 2, and f(2) = 0.221views
Textbook QuestionFind each sum or difference, if possible. See Examples 2 and 3. <1x4 Matrix> - <1x4 Matrix>142views
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) = 12.142views
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.)180views
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)214views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. [2x2 matrix] = [2x2 matrix]129views