Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all blanks.) 1 B-[-23]. = -2 1 10 [3]OKOROK ¦]+( 0 1 10 A₁ - [89] = 01 = 0-1 A₂ [3] 4-[8] = A3 1 0 0 1 0-1 1 + 1 1 01 1

- 4 8 2 Find the following matrices where A = 8. and B = 6 - 5 9 - 1 - 9 - 1 а. А + B b. A-B с. - ЗА d. - 6A + 7B

B = 2 [31] Write B and B-¹ as products of elementary matrices. • You must write out all of the matrices, and indicate what order you must multiply them to get B (and B-¹

Given matrices A and B shown below, find (-8)A + (7)B. -1 -4 -3 A = 1 3 -1 -2 -2 1 -2 2 3 B = 1 -4 2 [ 5 5 ]

Find the following matrix product, if possible.  [-3  -4  1]  [-1] [-8  0  4]    [-5]                  [2] Select the correct choice below and answer if necessary.  A. [-3  -4  1]  [-1] [-8  0  4]   [-5]   =                  [2] B. The product is not possible.

Consider the matrices below and find the requested products if possible [8 2 A = 5 Г4 2 -2 5 L2 B = 1 -2 -3 Lo 4 a. Find AB. b. Find BA.

Find the matrix product AB, if it is defined. [-22]-8-[-2²2] B = A = -13 -16 6-1 4-6 =] 2-6 20

Solve for X using the matrices below. 2A + 4B = −2X

Let -1 -3 A = -8 2 -2 4 and -6 -9 -1 B %3D -5 4 10 then use the matrices above to perform matrix multiplication AB ||

Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. 0 с. O d. 5/2-11/2) -15/2 (- (4, -13) -12 6 none of the others (-₁5--1¹) 6 O e. 3(B+ A/2) 2 4 A = (²₁6) B=(-²32) -6 0