Question

If A = `[(-3, -7),(0, -8)]` and A – B = `[(6, 4),(-3, 0)]`, then matrix B is ______.

विकल्प

• `[(9, 11),(-3, 18)]`

• `[(-9, -11),(3, 8)]`

• `[(9, -11),(-3, 8)]`

• `[(-9, -11),(3, -8)]`

Answer 1

If A = `[(-3, -7),(0, -8)]` and A – B = `[(6, 4),(-3, 0)]`, then matrix B is `underlinebb([(-9, -11),(3, -8)])`.

Explanation:

A – B = `[(6, 4),(-3, 0)]`

`\implies B = A - [(6, 4),(-3, 0)]`

∴ B = `[(-3, -7),(0, -8)] - [(6, 4),(-3, 0)]`

= `[(-3 - 6, -7 - 4),(0 + 3, -8 - 0)]`

= `[(-9, -11),(3, -8)]`