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Question
Show that the matrix A = `[(0, 1, -1),(-1, 0, 1),(1, -1, 0)]` is a skew symmetric matrix.
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Solution
Given, A = `[(0, 1, -1),(-1, 0, 1),(1, -1, 0)]`
So, –A = `[(0, -1, 1),(1, 0, -1),(-1, 1, 0)] = -[(0, 1, -1),(-1, 0, 1),(1, -1, 0)]`
∵ A' = –A Hence, it is proved that the matrix
A = `[(0, 1, -1),(-1, 0, 1),(1, -1, 0)]` is a skew symmetric matrix.
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