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 ______.

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. &there4; |A| = 0.

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

Question

The value of |A|, if A = $[\begin{matrix} 0 & 2 x - 1 & \sqrt{x} \\ 1 - 2 x & 0 & 2 \sqrt{x} \\ - \sqrt{x} & - 2 \sqrt{x} & 0 \end{matrix}]$ , 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 = $[\begin{matrix} 0 & 2 x - 1 & \sqrt{x} \\ 1 - 2 x & 0 & 2 \sqrt{x} \\ - \sqrt{x} & - 2 \sqrt{x} & 0 \end{matrix}]$ , where x ∈ R⁺, is 0.

Explanation:

Matrix A is a skew symmetric matrix of odd order.

∴ |A| = 0.

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Symmetric and Skew Symmetric Matrices

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