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If A is a symmetric and B skew symmetric...

If A is a symmetric and B skew symmetric matrix and (A+B) si non-singular and `C=(A+B)^(-1)(A-B)`, then prove that.
(i) `C^(T)(A+B)C=A+B` (ii)`C^(T)(A-B)C=A-B`

A

`C^T(A+B)C=A+B`

B

`C^T(A-B)C=A-B`

C

`C^T AC=A`

D

`C^T AC=A`

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