If A and B are symmetric matrics, then ABA is
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If A and B are symmetric matrices, then ABA is. Solution : `A^T=A;B^T=B`<br> `(ABA)^T=A^TB^TA^T=ABA`<br> ABA is also a symmetric matric.
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Answered by
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Answer:
Given A and B are symmetric matrices.
⇒A
T
=A and B
T
=B
Now, take (ABA)
T
⇒(ABA)
T
=A
T
B
T
A
T
⇒(ABA)
T
=ABA
Hence, ABA is also a symmetric matrix.
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