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If A and B are symmetric matrices, th...

If `A` and `B` are symmetric matrices, then `A B A` is (a) symmetric matrix (b) skew-symmetric matrix (c) diagonal matrix (d) scalar matrix

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We have given: A and B are symmetric matrices.
`implies A^T=A` and `B^T=B`
Let `(ABA)^T=A^TB^TA^T`
`(ABA)^T=ABA`
Therefore, `ABA`is also a symmetric matrix.
Hence correct option is (a)
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