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Question
If A is skew-symmetric, then kA is a ______. (k is any scalar)
Solution
If A is skew-symmetric, then kA is a skew-symmetric matrix. (k is any scalar)
Explanation:
Given A is skew-symmetric matrix
∴ A' = –A
∴ (kA)' = kA'
= k(–A)
= – kA
∴ (kA) is also skew-symmetric matrix.
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