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If A and B are symmetric matrices, then ABA is : |
Symmetric matrix Skew-symmetric matrix diagonal matrix scalar matrix |
Symmetric matrix |
The correct answer is Option (1) → Symmetric matrix A and B are symmetric matrices, $⇒ A^T=A$ and $B^T=B$ $(ABA)^T=A^TB^TA^T$ $=ABA$ $A^T=A,B^T=B$ ∴ it is also symmetric. |
