Guided course 7:54Solving Systems of Equations - Matrices (Row-Echelon Form)Patrick Ford330views11rank
Guided course 5:58Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)Patrick Ford293views4rank
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+3140views2rank
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=5204views
Multiple ChoiceWrite the system of equations represented by the augmented matrix shown.231views1rank
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 194views
Textbook QuestionIn Exercises 1–2, perform each matrix row operation and write the new matrix.555views
Textbook QuestionHow many rows and how many columns does this matrix have? What is its dimension? <4x2 Matrix>144views
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) 198views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 200views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.414views
Textbook QuestionWhat is the augmented matrix of the following system? -3x + 5y = 2 6x + 2y = 7223views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.328views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.244views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 356views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -4 times row 1 added to row 2214views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 245views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2161views
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. 181views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 2 times row 1 added to row 2136views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: b. A - B 4 1 5 9 A = B = 3 2 0 7168views
Textbook QuestionFind the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.161views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: d. - 3A + 2B 4 1 5 9 A = B = 3 2 0 7166views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2133views
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. 190views
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 - 4157views
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 - 4146views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4160views
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 = 0216views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 199views
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 = 0160views
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+D189views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: a. A + B A = [6 2 - 3], B = [4 - 2 3]175views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A A = [6 2 - 3], B = [4 - 2 3]196views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 164views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>207views
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 - 2159views
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-A200views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 193views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>215views
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+2D257views
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. 345views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve.174views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. See Examples 1 and 2. =150views
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 = B167views
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)272views
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 = -1226views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 247views
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 = -6145views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 264views
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. BD265views
Textbook QuestionSolve each system, using the method indicated. 5x + 2y = -10 3x - 5y = -6 (Gauss-Jordan)150views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 271views
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= 0272views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 201views
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 = 0302views
Textbook QuestionSolve each system, using the method indicated. 3x + y = -7 x - y = -5 (Gaussian elimination)143views
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 = -14193views
Textbook QuestionSolve each system, using the method indicated. x - z = -3 y + z = 6 2x - 3z = -9 (Gauss-Jordan)137views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 183views
Textbook QuestionIn Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4166views
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 = -13190views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 214views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 374views
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 0170views
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. 183views
Textbook QuestionFind the quadratic function f(x) = ax² + bx + c for which ƒ( − 2) = −4, ƒ(1) = 2, and f(2) = 0.229views
Textbook QuestionFind each sum or difference, if possible. See Examples 2 and 3. <1x4 Matrix> - <1x4 Matrix>147views
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) = 12.144views
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.)187views
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)222views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. [2x2 matrix] = [2x2 matrix]134views