Question

If A = `[(6, 0),(8, -4)]` and A + 2B = 0, then matrix B is ______.

विकल्प

• `[(3, 0),(4, -2)]`

• `[(-6, 0),(-8, 4)]`

• `[(-3, 0),(-4, 2)]`

• `[(0, 1),(1, 0)]`

Answer 1

If A = `[(6, 0),(8, -4)]` and A + 2B = 0, then matrix B is `underlinebb([(-3, 0),(-4, 2)])`.

Explanation:

A = `[(6, 0),(8, -4)]`

A + 2B = 0

2B = −A

B = `-A/2`

Substitute matrix A

B = `-1/2[(6, 0),(8, -4)]`

= `[(-3, 0),(-4, 2)]`