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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
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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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