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If A = [(7, 0, x), (0, 7, 0), (0, 0, y)] is a scalar matrix, then y^x is equal to ______. - Mathematics

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Question

If A = `[(7, 0, x), (0, 7, 0), (0, 0, y)]` is a scalar matrix, then yx is equal to ______.

Options

  • 0

  • 1

  • 7

  • ± 7

MCQ
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Solution

If A = `[(7, 0, x), (0, 7, 0), (0, 0, y)]` is a scalar matrix, then yx is equal to 1.

Explanation:

A = `[(7, 0, x), (0, 7, 0), (0, 0, y)]`

Since A is a scalar matrix.

∴ x = 0 and y =7 

Now yx = 70 = 1

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