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3.6 – Multiply Matrices

3.6 – Multiply Matrices. The product of two matrices A and B is defined provided the number of columns in A is equal to the number of rows in B. If A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix. 3.6 – Multiply Matrices. Example 1:

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3.6 – Multiply Matrices

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  1. 3.6 – Multiply Matrices The product of two matrices A and B is defined provided the number of columns in A is equal to the number of rows in B. If A is an m x n matrix and B is an n x p matrix, then the product AB is an m x p matrix.

  2. 3.6 – Multiply Matrices Example 1: State whether the product of AB is defined. If so, give the dimensions of AB. A: 4x3, B: 3x2 b. A: 3x4, B: 3x2 c. A: 3x5, B:5x2 d. A: 3x4, B: 3x2

  3. 3.6 – Multiply Matrices

  4. 3.6 – Multiply Matrices Example 2:

  5. 3.6 – Multiply Matrices Example 3:

  6. 3.6 – Multiply Matrices Example 4: Using the given matrices, evaluate the expression. a. A(B +C) b. AB + BC

  7. 3.6 – Multiply Matrices

  8. 3.6 – Multiply Matrices Example 5: Two hockey teams submit equipment lists for the season as shown. Each stick costs $60, each puck costs $2, and each uniform costs $35. Use matrix multiplication to find the total cost of equipment for each team.

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