Find the following matrix product, if possible.

**Solution:-**

Let A be an m × n matrix and let B be an n × k matrix. To find the element in the ith row and jth column of the product matrix AB, multiply each element in the ith row of A by the corresponding element in the jth column of B, and then add these products. The product matrix AB is an m × k matrix.

Let A =

And B =

In order to find the entry in the first row and first column of AB, multiply the elements of the first row of A and the corresponding elements of the column of B.

(5)*(1) + (-2)*(0) = 5

Thus, 5 is the first-row entry of the product matrix AB.

Next, multiply the elements of the second row of A and the corresponding elements of B.

(-4)*(1)+(3)*(0) = -4

The second-row entry of the product matrix AB is -4.

Now write the elements of the product AB inn matrix form.

AB =

Therefore,