Question

3.Picture with question attached
Algebra2 Matrices

Answer 1

Just like numbers have additive inverses, matrices can have them also.

For example, suppose you're given a number 5. To find its additive inverse is simple... it's -5!
By definition, if a is a number, -a is its additive inverse, because a + (-a) = 0.
It's called an inverse because you're undoing the addition. It's like you never even added anything in the first place.

So, this is the same for matrices. You're given a matrix D. It's additive inverse is simply -D.

D + (-D) = 0.

Looks like it's going to be the first choice.

Answer 2

Ohh okay i understand, thank for explaining!

Answer 3

You're welcome!