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Question
The following matrix, using its transpose state whether it is symmetric, skew-symmetric, or neither:
`[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`
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Solution
Let A = `[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`
∴ AT = `[(1, 2, -5),(2, -3, 4),(-5, 4, 9)]`
∴ AT = A, i.e., A = AT
∴ A is a symmetric matrix.
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