Question

How do I solve: for the matrix A find -A and A+ (-A), A=[3 -8] bottom part[-6 5]

Answer 1

To find -A, we use scalar multiplication. This is where we multiply each number of a matrix by a constant. In this case, the constant is -1.

So the values of -1A are:

[-3 8] on top, and [6 -5] on bottom.

Next we add A and -A together. To do this, simply add each number to it's counterpart in the other matrix.

A + (-A) = [0 0] on top and [0 0] on bottom. Since the values of -A are the opposites to the values of A, they cancel each other out.