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If A = [5xy0] and A = AT, where AT is the transpose of the matrix A, then ______.

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Question

If A = `[(5, x),(y, 0)]` and A = AT, where AT is the transpose of the matrix A, then ______.

Options

  • x = 0, y = 5

  • x = y

  • x + y = 5

  • x = 5, y = 0

MCQ
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Solution

If A = `[(5, x),(y, 0)]` and A = AT, where AT is the transpose of the matrix A, then x = y.

Explanation:

A = AT

`[(5, x),(y, 0)] = [(5, y),(x, 0)]`

`\implies` x = y.

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2022-2023 (March) Delhi Set 3

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