Exercises: Understand Matrix Multiplication Properties

Work through each section in order. Show your work where indicated.

Grade 9·18 problems·~30 min·Common Core Math - HS Number and Quantity·standard·hsn-vm-c-9

Work through problems with immediate feedback

Fluency Practice

The associative property says $(AB)C = A(BC)$ . Which manipulation does this allow?

You can swap $A$ and $C$ in the product.

You can move the parentheses to group the factors differently, as long as the left-to-right order of $A$ , $B$ , $C$ is preserved.

You can multiply in any order you choose.

You can move any one matrix to the front of the product.