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प्रश्न
Show that (A + A') is symmetric matrix, if `A = ((2,4),(3,5))`
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उत्तर
`A + A^T=[(2 4),(3 5)] + [(2 3),(4 5)] = [(4 7),(7 10)]`
∴ `(A + A^T)^T = [(4 7),(7 10)]=(A + A^T)`
∴ A + AT is symmetric matrix.
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