Question

The additive inverse of matrix A + B, where A = `[(4, 2),(7, -2)]` and B = `[(-2, 1),(3, -4)]` is ______.

Options

• `[(-2, -3),(-10, 6)]`

• `[(2, 3),(-10, -6)]`

• `[(-2, -3),(-10, -6)]`

• `[(-2, 3),(10, -6)]`

Answer 1

The additive inverse of matrix A + B, where A = `[(4, 2),(7, -2)]` and B = `[(-2, 1),(3, -4)]` is `underlinebb([(-2, -3),(-10, 6)])`.

Explanation:

A + B = `[(4, 2),(7, -2)] + [(-2, 1),(3, -4)]`

= `[(4 - 2, 2 + 1),(7 + 3, -2 - 4)]`

= `[(2, 3),(10, -6)]`

∴ Additive inverse of A + B

= – (A + B)

= `-[(2, 3),(10, -6)]`

= `[(-2, -3),(-10, 6)]`