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Question
Classify the following matrix as, a row, a column, a square, a diagonal, a scalar, a unit, an upper triangular, a lower triangular, a symmetric or a skew-symmetric matrix:
`[(0, 4, 7),(-4, 0, -3),(-7, 3, 0)]`
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Solution
Let A = `[(0, 4, 7),(-4, 0, -3),(-7, 3, 0)]`
∴ AT = `[(0, -4, -7),(4, 0, 3),(7, -3, 0)]`
∴ AT = `-[(0, 4, 7),(-4, 0, -3),(-7, 3, 0)]`
∴ AT = –A, i.e., A = – AT
∴ A is a skew-symmetric matrix.
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