Guided course 7:54Solving Systems of Equations - Matrices (Row-Echelon Form)Patrick Ford329views11rank
Guided course 5:58Solving Systems of Equations - Matrices (Reduced Row-Echelon Form)Patrick Ford291views4rank
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=5203views
Multiple ChoiceWrite the system of equations represented by the augmented matrix shown.230views1rank
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 192views
Textbook QuestionIn Exercises 1–2, perform each matrix row operation and write the new matrix.551views
Textbook QuestionHow many rows and how many columns does this matrix have? What is its dimension? <4x2 Matrix>143views
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) 196views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 199views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.413views
Textbook QuestionWhat is the augmented matrix of the following system? -3x + 5y = 2 6x + 2y = 7219views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.326views
Textbook QuestionIn Exercises 3–5, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination.243views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 348views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -4 times row 1 added to row 2212views
Textbook QuestionIn Exercises 1–8, write the augmented matrix for each system of linear equations. 242views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 2x2 Matrix > ; -7 times row 1 added to row 2158views
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. 178views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 2 times row 1 added to row 2134views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: b. A - B 4 1 5 9 A = B = 3 2 0 7165views
Textbook QuestionFind the dimension of each matrix. Identify any square, column, or row matrices. See the discussion preceding Example 1.160views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: d. - 3A + 2B 4 1 5 9 A = B = 3 2 0 7164views
Textbook QuestionUse the given row transformation to change each matrix as indicated. See Sample 1. < 3x3 Matrix > ; 4 times row 1 added to row 2132views
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 - 4144views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A 3 1 1 2 - 3 6 A = B = - 1 2 5 - 3 1 - 4159views
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 = 0214views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 196views
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 = 0159views
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+D187views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: a. A + B A = [6 2 - 3], B = [4 - 2 3]173views
Textbook QuestionIn Exercises 9 - 16, find the following matrices: c. - 4A A = [6 2 - 3], B = [4 - 2 3]195views
Textbook QuestionIn Exercises 13–18, perform each matrix row operation and write the new matrix. 163views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve. <4x3 Matrix>205views
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 - 2157views
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-A197views
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>213views
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+2D255views
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. 343views
Textbook QuestionWrite the system of equations associated with each augmented matrix . Do not solve.171views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. See Examples 1 and 2. =148views
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 = B166views
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)269views
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. 246views
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 = -6143views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 261views
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. BD264views
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. 267views
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= 0270views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 198views
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 = 0298views
Textbook QuestionSolve each system, using the method indicated. 3x + y = -7 x - y = -5 (Gaussian elimination)140views
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 = -14191views
Textbook QuestionSolve each system, using the method indicated. x - z = -3 y + z = 6 2x - 3z = -9 (Gauss-Jordan)135views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 182views
Textbook QuestionIn Exercises 27 - 36, find (if possible) the following matrices: a. AB b. BA 1 2 A = [1 2 3 4], B = 3 4165views
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 = -13187views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 210views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 372views
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 0169views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 201views
Textbook QuestionIn Exercises 21–38, solve each system of equations using matrices. Use Gaussian elimination with back-substitution or Gauss-Jordan elimination. 182views
Textbook QuestionFind the quadratic function f(x) = ax² + bx + c for which ƒ( − 2) = −4, ƒ(1) = 2, and f(2) = 0.227views
Textbook QuestionFind each sum or difference, if possible. See Examples 2 and 3. <1x4 Matrix> - <1x4 Matrix>146views
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.)185views
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)221views
Textbook QuestionFind the values of the variables for which each statement is true, if possible. [2x2 matrix] = [2x2 matrix]133views