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Multiplying Matrices

Multiplying Matrices. Scalar Multiplication - each element in a matrix is multiplied by a constant. **Multiply rows times columns. **You can only multiply if the number of columns in the 1 st matrix is equal to the number of rows in the 2 nd matrix. Dimensions:. 3 x 2. 2 x 3.

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Multiplying Matrices

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  1. Multiplying Matrices

  2. Scalar Multiplication - each element in a matrix is multiplied by a constant.

  3. **Multiply rows times columns. **You can only multiply if the number of columns in the 1st matrix is equal to the number of rows in the 2nd matrix. Dimensions: 3 x 2 2 x 3 They must match. The dimensions of your answer.

  4. Examples: 2(3) + -1(5) 2(-9) + -1(7) 2(2) + -1(-6) 3(-9) + 4(7) 3(2) + 4(-6) 3(3) + 4(5)

  5. Dimensions: 2 x 3 2 x 2 *They don’t match so can’t be multiplied together.*

  6. 2 x 2 2 x 2 *Answer should be a 2 x 2 0(4) + (-1)(-2) 0(-3) + (-1)(5) 1(4) + 0(-2) 1(-3) +0(5)

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