# How do you multiply #(4, 5)(3, 4)# by #(3, 0)(0, 3)#?

##### 2 Answers

#### Explanation:

**Find the first row of the product**

Take the first row of

It looks like:

Now multiply times the first column and add to get the first number in the first row of the answer:

Next multiply times the second column and add to get the second number in the first row of the answer:

The first row of the product is:

A this point we know that the product looks like:

**Find the second row of the product**

Find the second row of the product by the same process using the second row of

The second row of the product is:

**Write the answer**

The second matrix is just a scalar multiple (

#### Explanation:

Jim's explanation is really helpful if you are multiplying any two square matrices, but in this particular example there's a short cut.

So: