Question

Find the product:
1 -1 2
12 1 0] -1 -2 1 [a b c
0 1 1
a
12
b=0

Answer 1

`[1, -4 ,5]`

Explanation:

In this question we are multiplying together two matrices. When we multiply a (1 x 3) matrix with a (3 x 3) matrix, we get a (1 x 3) matrix.

To compute each value, all you need to do is take the each value in each row in the first matrix, and multiply it by each value in each column of the second matrix and add up the result. So let's do that.

`a = (2 * 1) + (1 * -1) + (0 * 0) = 2 - 1 + 0 = 1`

`b = (2 * -1) + (1 * -2) + (0 * 1) = -2 -2 = -4`

`c = (2 * 2) + (1 * 1) + (0 * 1) = 4 + 1 + 0 = 5`