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Question
If A = `[(-3, -7),(0, -8)]` and A – B = `[(6, 4),(-3, 0)]`, then matrix B is ______.
Options
`[(9, 11),(-3, 18)]`
`[(-9, -11),(3, 8)]`
`[(9, -11),(-3, 8)]`
`[(-9, -11),(3, -8)]`
MCQ
Fill in the Blanks
Solution
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)]`
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