Matrix Multiplication (Algebra 2)
Free printable Algebra 2 algebra worksheet on deciding when a matrix product is defined and computing it with row-by-column dot products.
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Algebra 2 · Math worksheet
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Algebra 2: Matrix Multiplication
Decide whether each product is defined, then compute the products that are, using row-by-column dot products. Matrices are written in row form, e.g. [1, 2; 3, 4].
- 1.A is a 3×3 matrix and B is a 3×2 matrix. Is the product AB defined? If so, state its dimensions.
- 2.A is a 3×3 matrix and B is a 3×3 matrix. Is the product AB defined? If so, state its dimensions.
- 3.A is a 3×2 matrix and B is a 3×2 matrix. Is the product AB defined? If so, state its dimensions.
- 4.Compute the product [5, -5, 3; -1, 5, 3] × [-6, 2, -3; -4, 1, 1; 1, 0, 5].
- 5.Compute the product [4, 5, 1; 1, -2, 2] × [1, 5, 0; 1, -1, 4; -3, 3, -5].
- 6.Compute the product [2, 1; 1, 3] × [-3, 4, 4; 3, -3, -1].
- 7.Compute the product [5, -6, -3; 3, -4, -6] × [-6, 6; -1, -6; 2, -5].
- 8.Compute the product [-4, -1, 5; -6, 5, -2] × [-1, -5; 0, 2; -4, -2].
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