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Question
Show that the matrix A = `[(1, -1, 5),(-1, 2, 1),(5, 1, 3)]` is a symmetric matrix.
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Solution
Given, A = `[(1, -1, 5),(-1, 2, 1),(5, 1, 3)]`
So, A' = `[(1, -1, 5),(-1, 2, 1),(5, 1, 3)]`
∵ A' = A Hence, it is proved that the matrices are
A = `[(1, -1, 5),(-1, 2, 1),(5, 1, 3)]` is a symmetric matrix.
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