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Question
Select the correct option from the given alternatives:
If A = `[(-2, 1),(0, 3)]` and f(x) = 2x2 – 3x, then f(A) = ………
Options
`[(14, 1),(0, -9)]`
`[(-14, 1),(0, 9)]`
`[(14, -1),(0, 9)]`
`[(-14, -1),(0, -9)]`
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Solution
`[(14, -1),(0, 9)]`
Explanation;
f(A) = 2A2 – 3A
= `2[(-2, 1),(0, 3)] [(-2, 1),(0, 3)] -3[(-2, 1),(0, 3)]`
= `2[(4, 1),(0, 9)] - [(-6, 3),(0, 9)]`
= `[(8 + 6, 2 - 3),(0 - 0, 18 - 9)]`
= `[(14, -1),(0, 9)]`
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