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Question
For the matrix A = `[(2,3),(5,7)]`, find (A + A') and verify that it is a symmetric matrix.
Solution
`"A" = [(2,3),(5,7)]`
`"A+A"\prime = [(2,3),(5,7)] + [(2,5),(3,7)] = [(4,8),(8,14)]`
`("A+A"\prime)""^\prime= [(4,8),(8,14)] = ("A+A"\prime)`
Thus, `("A + A"\prime)` is a symmetric matrix.
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