Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. x + y = 7 x - y = 3193views1rank
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. 12x + 3y = 15 2x - 3y = 13208views
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. 12x + 3y = 15 2x - 3y = 13208views
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. 4x - 5y = 17 2x + 3y = 3217views
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. x + 2y = 3 3x - 4y = 4272views
Textbook QuestionFind the cofactor of each element in the second row of each matrix. See Example 2.180views
Textbook QuestionFind the cofactor of each element in the second row of each matrix. See Example 2.231views
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. 3x - 4y = 4 2x + 2y = 12221views
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. 3x - 4y = 4 2x + 2y = 12221views
Textbook QuestionFor Exercises 11–22, use Cramer's Rule to solve each system. 2x = 3y + 2 5x = 51 - 4y221views
Textbook QuestionIn Exercises 23–30, use expansion by minors to evaluate each determinant. 3 0 0 2 1 - 5 2 5 - 1192views
Textbook QuestionIn Exercises 23–30, use expansion by minors to evaluate each determinant. 3 1 0 - 3 4 0 - 1 3 - 5200views
Textbook QuestionIn Exercises 23–30, use expansion by minors to evaluate each determinant. 3 1 0 - 3 4 0 - 1 3 - 5200views
Textbook QuestionIn Exercises 23–30, use expansion by minors to evaluate each determinant. 1 1 1 2 2 2 - 3 4 - 5178views
Textbook QuestionIn Exercises 23–30, use expansion by minors to evaluate each determinant. 0.5 7 5 0.5 3 9 0.5 1 3191views
Textbook QuestionIn Exercises 31–36, use the alternative method for evaluating third-order determinants on here to evaluate each determinant. - 3 4 - 5 5 - 2 0 8 - 1 3227views
Textbook QuestionIn Exercises 31–36, use the alternative method for evaluating third-order determinants on here to evaluate each determinant. - 3 4 - 5 5 - 2 0 8 - 1 3227views
Textbook QuestionIn Exercises 31–36, use the alternative method for evaluating third-order determinants on here to evaluate each determinant. 1 5 6 1 4 5 1 9 10207views
Textbook QuestionIn Exercises 31–36, use the alternative method for evaluating third-order determinants on here to evaluate each determinant. 0.5 7 5 0.5 3 9 0.5 1 3183views
Textbook QuestionIn Exercises 37–44, use Cramer's Rule to solve each system. x + y + z = 0 2x - y + z = - 1 - x + 3y - z = - 8180views
Textbook QuestionIn Exercises 37–44, use Cramer's Rule to solve each system. x + y + z = 0 2x - y + z = - 1 - x + 3y - z = - 8180views
Textbook QuestionIn Exercises 37–44, use Cramer's Rule to solve each system. 4x - 5y - 6z = - 1 x - 2y - 5z = - 12 2x - y = 7323views
Textbook QuestionIn Exercises 37–44, use Cramer's Rule to solve each system. x + y + z = 4 x - 2y + z = 7 x + 3y + 2z = 4250views
Textbook QuestionIn Exercises 37–44, use Cramer's Rule to solve each system. x + 2z = 10 2y - z = - 5 2x + 3y = 13283views
Textbook QuestionIn Exercises 37–44, use Cramer's Rule to solve each system. x + 2z = 10 2y - z = - 5 2x + 3y = 13283views
Textbook QuestionIn Exercises 45–48, explain why the system of equations cannot be solved using Cramer's Rule. Then use Gaussian elimination to solve the system. 2x - 3y + 2z = 4 2x + 3y - 2z = 6 2x - 9y + 6z = 2291views
Textbook QuestionIn Exercises 45–48, explain why the system of equations cannot be solved using Cramer's Rule. Then use Gaussian elimination to solve the system. 4x - 3y - 2z = 12 8x - 6y - 4z = 22239views
Textbook QuestionEvaluate each determinant in Exercises 49–52. 4 2 8 - 7 - 2 0 4 1 5 0 0 5 4 0 0 - 1218views
Textbook QuestionEvaluate each determinant in Exercises 49–52. 4 2 8 - 7 - 2 0 4 1 5 0 0 5 4 0 0 - 1218views
Textbook QuestionEvaluate each determinant in Exercises 49–52. - 2 - 3 3 5 1 - 4 0 0 1 2 2 - 3 2 0 1 1204views
Textbook QuestionIn Exercises 53–54, evaluate each determinant. | | 3 1| |7 0| | | |- 2 3| |1 5| | | | | | 3 0| |9 - 6| | | | 0 7| |3 5| |194views
Textbook QuestionIn Exercises 55–56, write the system of linear equations for which Cramer's Rule yields the given determinants. 2 - 4 8 - 4 D = D_x = 3 5 - 10 5471views
Textbook QuestionUse the determinant theorems to evaluate each determinant. See Example 4.170views1rank
Textbook QuestionIn Exercises 57–60, solve each equation for x. |1 x - 2| |3 1 1| = - 8 |0 - 2 2|190views
Textbook QuestionIn Exercises 57–60, solve each equation for x. |1 x - 2| |3 1 1| = - 8 |0 - 2 2|190views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. x + y = 4 2x - y = 2293views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. 4x + 3y = -7 2x + 3y = -11140views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. 5x + 4y = 10 3x - 7y = 6158views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. 1.5x + 3y = 5 2x + 4y = 3153views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. 3x + 2y = 4 6x + 4y = 8143views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. (1/2)x + (1/3)y = 2 (3/2)x - (1/2)y = -12191views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. 2x - y + 4z = -2 3x + 2y - z = -3 x + 4y + 2z = 17209views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. x + 2y + 3z = 4 4x + 3y + 2z = 1 -x - 2y - 3z = 0228views
Textbook QuestionUse Cramer's rule to solve each system of equations. If D = 0, then use another method to determine the solution set. See Examples 5–7. -2x - 2y + 3z = 4 5x + 7y - z = 2 2x + 2y - 3z = -4181views
Textbook QuestionIn Exercises 1 - 12, find the products AB and BA to determine whether B is the multiplicative inverse of A. 0 0 - 2 1 1 2 0 3 - 1 0 1 1 0 1 1 1 A = B = 0 1 - 1 0 0 1 0 1 1 0 0 - 1 1 2 0 273views
Textbook QuestionIn Exercises 1 - 12, find the products AB and BA to determine whether B is the multiplicative inverse of A. 1 2 3 7/2 - 3 1/2 A = 1 3 4 B = - 1/2 0 1/2 1 4 3 - 1/2 1 - 1/283views
Textbook QuestionIn Exercises 1 - 12, find the products AB and BA to determine whether B is the multiplicative inverse of A. 0 1 0 0 0 1 A = 0 0 1 B = 1 0 0 1 0 0 0 1 0151views
Textbook QuestionIn Exercises 37 - 42, a. Write each linear system as a matrix equation in the form AX = B. b. Solve the system using the inverse that is given for the coefficient matrix. w - x + 2y = - 3 x - y + z = 4 - w + x - y + 2z = 2 - x + y - 2z = - 4 The inverse of is 86views
Textbook QuestionIn Exercises 37 - 42, a. Write each linear system as a matrix equation in the form AX = B. b. Solve the system using the inverse that is given for the coefficient matrix. x - y + z = 8 2y - z = - 7 2x + 3y = 1 The inverse of is 88views
Textbook QuestionIn Exercises 37 - 42, a. Write each linear system as a matrix equation in the form AX = B. b. Solve the system using the inverse that is given for the coefficient matrix. 2x + 6y + 6z = 8 2x + 7y + 6z = 10 2x + 7y + 7z = 9 The inverse of is 74views
Textbook QuestionIn Exercises 1 - 12, find the products AB and BA to determine whether B is the multiplicative inverse of A. - 2 1 1 2 A = B = 3/2 - 1/2 3 468views
Textbook QuestionIn Exercises 1 - 12, find the products AB and BA to determine whether B is the multiplicative inverse of A. - 4 0 - 2 4 A = B = 1 3 0 169views
Textbook QuestionIn Exercises 1 - 12, find the products AB and BA to determine whether B is the multiplicative inverse of A. 4 - 3 4 3 A = B = - 5 4 5 453views
Textbook QuestionIn Exercises 33 - 36, write each matrix equation as a system of linear equations without matrices. 52views
Textbook QuestionIn Exercises 33 - 36, write each matrix equation as a system of linear equations without matrices. 66views
Textbook QuestionIn Exercises 29 - 32, write each linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the constant matrix. x + 3y + 4z = - 3 x + 2y + 3z = - 2 x + 4y + 3z = - 6114views
Textbook QuestionIn Exercises 29 - 32, write each linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the constant matrix. 6x + 5y = 13 5x + 4y = 10122views
Textbook QuestionIn Exercises 13 - 18, use the fact that if a b d - b A = then A^(-1) = 1/(ad-bc) to find the inverse of c d - c a each matrix, if possible. Check that AA^(-1) = I_2 and A^(-1)A = I_2. 10 - 2 A = - 5 154views
Textbook QuestionIn Exercises 13 - 18, use the fact that if a b d - b A = then A^(-1) = 1/(ad-bc) to find the inverse of c d - c a each matrix, if possible. Check that AA^(-1) = I_2 and A^(-1)A = I_2. 3 - 1 A = - 4 263views
Textbook QuestionIn Exercises 13 - 18, use the fact that if a b d - b A = then A^(-1) = 1/(ad-bc) to find the inverse of c d - c a each matrix, if possible. Check that AA^(-1) = I_2 and A^(-1)A = I_2. 2 3 A = - 1 263views
Textbook QuestionIn Exercises 43–44, (a) Write each linear system as a matrix equation in the form AX = B (b) Solve the system using the inverse that is given for the coefficient matrix.84views
Textbook QuestionIn Exercises 37–38, find the products and to determine whether B is the multiplicative inverse of A.82views
Textbook QuestionAnswer each question. What is the product of [2x2 matrix] and I2 (in either order)?32views
Textbook QuestionAre the given matrices inverses of each other? (Hint: Check to see whether their products are the identity matrix I↓n.) [2x2 matrix] and [2x2 matrix]40views
Textbook QuestionAre the given matrices inverses of each other? (Hint: Check to see whether their products are the identity matrix I↓n.) [3x3 matrix] and [3x3 matrix]32views
Multiple ChoiceWrite each equation in standard form and use Cramer's Rule to solve the system.y=−3x+4y=-3x+4y=−3x+4−2x=7y−9-2x=7y-9−2x=7y−9202views
Multiple ChoiceSolve the system of equations using Cramer's Rule.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=5159views
Multiple ChoiceWrite each equation in standard form and use Cramer's Rule to solve the system.y−9x=−3y-9x=-3y−9x=−3−3x=4y−1-3x=4y-1−3x=4y−1162views