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12.2 Practice – Matrix Multiplication Name: __________________________
Algebra 2 – NO GRAPHING CALCULATOR For 1‐6, find the product of the two matrices. Box your final answer.
1) 4 66 2
∙ 3 66 1
2) 2 56 1
∙ 4 45 0
3) 7 3 1 ∙4 90 25 4
4) 5 10 22 6
∙ 22
5) 5 6 20 3 0
∙6 16 41 1
6) 2 54 33 4
∙ 2 66 5
For 7‐10, the dimensions of Matrix A and Matrix B are listed. What are the dimensions of the product of AB? If it is not possible, then write “undefined.”
7) Matrix A: 6 x 2 Matrix B: 2 x 3 Matrix AB: ____ x ____
8) Matrix A: 3 x 1 Matrix B: 5 x 1 Matrix AB: ____ x ____
9) Matrix A: 6 x 7 Matrix B: 7 x 4 Matrix AB: ____ x ____
10) Matrix A: 4 x 2 Matrix B: 2 x 1 Matrix AB: ____ x ____
For 11‐12, solve for the variables x and y.
11). 4 34 5
∙ 3 213 1411 30
12). 3 5
2 ∙ 1 25
28 612 4