Question 1 of 20 | 0.0/ 5.0 Points |
Use Cramer's rule to solve the system. 2x + 4y - z = 32 x - 2y + 2z = -5 5x + y + z = 20 A. {( 1, -9, -6)} | | B. {( 2, 7, 6)} | | C. {( 9, 6, 9)} | | D. {( 1, 9, 6)} | |
| Question 2 of 20 | 5.0/ 5.0 Points |
Find the products AB and BA to determine whether B is the multiplicative inverse of A. A =  , B =  | Question 3 of 20 | 5.0/ 5.0 Points |
Evaluate the determinant.  A. 60 | | B. -30 | | C. -60 | | D. 30 | |
| Question 4 of 20 | 5.0/ 5.0 Points |
Evaluate the determinant.  | Question 5 of 20 | 0.0/ 5.0 Points |
Solve the system of equations using matrices. Use Gauss-Jordan elimination. 3x - 7 - 7z = 7 6x + 4y - 3z = 67 -6x - 3y + z = -62 A. {( 7, 1, 7)} | | B. {( 14, 7, -7)} | | C. {( -7, 7, 14)} | | D. {( 7, 7, 1)} | |
| Question 6 of 20 | 0.0/ 5.0 Points |
Solve the matrix equation for X. Let A =  and B =  ; 4X + A = B A. X =  | | B. X =  | | C. X =  | | D. X =  | |
| Question 7 of 20 | 0.0/ 5.0 Points |
Find the product AB, if possible. A =  , B =  A.  | | B.  | | C.  | | D. AB is not defined. | |
| Question 8 of 20 | 0.0/ 5.0 Points |
Determinants are used to show that three points lie on the same line (are collinear). If  = 0, then the points ( x 1, y 1), ( x 2, y 2), and ( x 3, y 3) are collinear. If the determinant does not equal 0, then the points are not collinear. Are the points (-2, -1), (0, 9), (-6, -21) and collinear? | Question 9 of 20 | 0.0/ 5.0 Points |
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.x + y + z = 9 2x - 3y + 4z = 7 x - 4y + 3z = -2 | Question 10 of 20 | 0.0/ 5.0 Points |
Let B = [-1 3 6 -3]. Find -4B. A. [-4 12 24 -12] | | B. [-3 1 4 -5] | | C. [4 -12 -24 12] | | D. [4 3 6 -3] | |
| Question 11 of 20 | 0.0/ 5.0 Points |
Find the inverse of the matrix, if possible. A =  | Question 12 of 20 | 0.0/ 5.0 Points |
Find the product AB, if possible. A =  , B =  | Question 13 of 20 | 0.0/ 5.0 Points |
Find the product AB, if possible. A =  , B =  A.  | | B.  | | C.  | | D. AB is not defined. | |
| Question 14 of 20 | 0.0/ 5.0 Points |
Use Cramer's rule to determine if the system is inconsistent system or contains dependent equations. 2x + 7 = 8 6x + 3y = 24 A. system is inconsistent | | B. system contains dependent equations | |
| Question 15 of 20 | 0.0/ 5.0 Points |
Solve the system of equations using matrices. Use Gaussian elimination with back-substitution. 3x + 5y - 2w = -13 2x + 7z - w = -1 4y + 3z + 3w = 1 -x + 2y + 4z = -5 A. {(-1, -  , 0,  )} | | B. {(1, -2, 0, 3)} | | C. {(  , -2, 0,  )} | | | |
| Question 16 of 20 | 0.0/ 5.0 Points |
Find the products AB and BA to determine whether B is the multiplicative inverse of A. A =  , B =  | Question 17 of 20 | 0.0/ 5.0 Points |
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. 3x - 2y + 2z - w = 2 4x + y + z + 6w = 8 -3x + 2y - 2z + w = 5 5x + 3z - 2w = 1 A. {(2, 0, -  ,  )} | | B. {(1, -  ,  , 6)} | | C. ∅ | | | |
| Question 18 of 20 | 0.0/ 5.0 Points |
Give the order of the matrix, and identify the given element of the matrix.  ; a12 A. 4 × 2; -11 | | B. 4 × 2; 14 | | C. 2 × 4; 14 | | D. 2 × 4; -11 | |
| Question 19 of 20 | 0.0/ 5.0 Points |
Let A =  and B =  . Find A - 3B. | Question 20 of 20 | 0.0/ 5.0 Points |
Find the product AB, if possible. A =  , B =  A.  | | B. AB is not defined. | | C.  | | D.  | |
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