**A _{5×5} B_{5×3} C_{3×4}**
=

The distributive property deals with a matrix expression that contains both matrix multiplication and matrix addition. Go through the following steps to demonstrate the property.

Both results are the same, demonstrating that matrix multiplication is distributive over matrix addition:

A(B + C) =AB+AC

It is also true that

(X + Y)Z=XZ+YZ

For more practice, change the elements in the matrices of step 1 (only), and then work the problem again. When you make changes, replace the contents of a cell with an integer and click outside of the cell to make the change.

Calculate the following:

cos w 1 0 sin w

x 2 1 y