If A is a symmetric and B skew symmetric matrix and (A+B) si non-singular and `C=(A+B)^(-1)(A-B)
Channel: Doubtnut
Date: 2020-01-26

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`