Sample Question

JustJeans stores can be found in three cities. Consider the following matrices.

1. Explain why matrix #1 can or can't be multiplied with matrix #2.
2. Explain why matrix #1 can or can't be multiplied with matrix #3.
3. Multiply the two matrices that can be multiplied together to create a new matrix. (Be sure to use appropriate labels.)
   Explain what information this new matrix tells.

Sample Response

1. Matrix #1 has dimensions 3x3. Matrix #2 has dimensions 3x1. So they can be multiplied in that order. (3x3 with 3x1 has inner dimensions matching.)
2. Matrix #1 has dimensions 3x3. Matrix #3 has dimensions 2x2. So they can't be multiplied in that order. (3x3 with 2x2 has inner dimensions not matching.)
3. 
   
   The new matrix tells the total amount of dollars from quarter 1 sales for all three jean types and lists them out by each city.