Question

If A= [P q] find additive inverse of A
[r. s ] ​

Answer 1

The additive inverse of A is -A. So, the additive inverse of A = [p q] is -A = [-p -q].

Here's how we can find the additive inverse of a matrix:

Find the additive inverse of each element in the matrix.

Replace each element in the matrix with its additive inverse.

For example, the additive inverse of p is -p. So, the additive inverse of the first element in A is -p.

The additive inverse of q is -q. So, the additive inverse of the second element in A is -q.

Plugging in these values, we get the following:

Additive inverse of A = [-p -q]

Explanation: