Transcript 3.6 – Multiply Matrices - Brookville Local Schools

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:
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 Matrices
Example 2:
3.6 – Multiply Matrices
Example 3:
3.6 – Multiply Matrices
Example 4:
Using the given matrices, evaluate the expression.
a. A(B +C)
b. AB + BC
3.6 – Multiply Matrices
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.