Show that BAB' is symmetric or skw-symmetirc according as A is symmetric or skw-symmetric (where B is any square matrix whose order is same as that of A).

Explanation

To show that \( BAB' \) is symmetric or skew-symmetric according to whether \( A \) is symmetric or skew-symmetric, we will analyze both cases step by step.

### Step 1: Definitions
- A matrix \( A \) is **symmetric** if \( A' = A \).
- A matrix \( A \) is **skew-symmetric** if \( A' = -A \).
- We need to analyze the expression \( BAB' \) and its transpose \( (BAB')' \).

### Step 2: Case 1 - When \( A \) is Symmetric
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