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The value of |A|, if A = [02x-1x1-2x02x-x-2x0], where x ∈ R+, is ______. - Mathematics

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Question

The value of |A|, if A = `[(0, 2x - 1, sqrt(x)),(1 - 2x, 0, 2sqrt(x)),(-sqrt(x), -2sqrt(x), 0)]`, where x ∈ R+, is ______.

Options

  • (2x + 1)2

  • 0

  • (2x + 1)3

  • (2x – 1)2

MCQ
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Solution

The value of |A|, if A = `[(0, 2x - 1, sqrt(x)),(1 - 2x, 0, 2sqrt(x)),(-sqrt(x), -2sqrt(x), 0)]`, where x ∈ R+, is 0.

Explanation:

Matrix A is a skew symmetric matrix of odd order.

∴ |A| = 0.

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