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Question
If A = `[(6, 0),(8, -4)]` and A + 2B = 0, then matrix B is ______.
Options
`[(3, 0),(4, -2)]`
`[(-6, 0),(-8, 4)]`
`[(-3, 0),(-4, 2)]`
`[(0, 1),(1, 0)]`
MCQ
Fill in the Blanks
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Solution
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)]`
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