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Question
For what value of k the matrix `[(0, k),(-6, 0)]` is a skew symmetric matrix?
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Solution
Let A = `[(0, k),(-6, 0)]`
∴ AT = `[(0, -6),(k, 0)]`
Given A is a skew-symmetric matrix.
∴ AT = – A
`[(0, -6),(k, 0)] = -[(0, k),(-6, 0)]`
= `[(0, -k),(6, 0)]`
On equating the corresponding entries,
k = 6
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