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If A = [-2103] Then 2A2 – 3A ______.

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Question

If A = `[(-2, 1),(0, 3)]` Then 2A2 – 3A ______.

Options

  • `[(14, -1),(0, 9)]`

  • `[(-14, 1),(0, 9)]`

  • `[(14, 1),(0, -9)]`

  • `[(14, -1),(0, -9)]`

MCQ
Fill in the Blanks
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Solution

If A = `[(-2, 1),(0, 3)]` Then 2A2 – 3A `underlinebb([(14, -1),(0, 9)]`.

Explanation:

`2[(-2, 1),(0, 3)][(-2, 1),(0, 3)] -3[(-2, 1),(0, 3)]`

`2[(4, 1),(0, 9)] - [(-6, 3),(0, 9)] = [(8, 2),(0, 18)] - [(-6, 3),(0, 9)]`

= `[(14, -1),(0, 9)]`

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