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If A = [23a6] is a singular matrix, then a = ______. - Mathematics and Statistics

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Question

If A = `[(2, 3),(a, 6)]` is a singular matrix, then a = ______.

Options

  • 6

  • – 5

  • 3

  • 4

MCQ
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Solution

If A = `[(2, 3),(a, 6)]` is a singular matrix, then a = 4.

Explanation:

∵ Matrix A is a singular matrix.

∴ |A| = 0

⇒ `|(2, 3),(a, 6)|` = 0

⇒ 12 – 3a = 0

⇒ 3a = 12

⇒ a = 4.

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2021-2022 (March) Set 1
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