3.6 – multiply matrices the product of two matrices a and b is defined provided the number of...
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3.6 – Multiply MatricesThe 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 MatricesExample 1:
State whether the product of AB is defined. If so, give the dimensions of AB.
a. A: 4x3, B: 3x2 b. A: 3x4, B: 3x2
c. A: 3x5, B:5x2 d. A: 3x4, B: 3x2
3.6 – Multiply Matrices
3.6 – Multiply MatricesExample 2:
3.6 – Multiply MatricesExample 3:
3.6 – Multiply MatricesExample 4:
Using the given matrices, evaluate the expression.
a. A(B +C) b. AB + BC
3.6 – Multiply Matrices
3.6 – Multiply MatricesExample 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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