If A, B are square matrices of same order and B is skew-symmetric matrix, then show that A'BA is skew -symmetric.

Explanation

To show that \( A'BA \) is skew-symmetric given that \( B \) is a skew-symmetric matrix, we will follow these steps:

### Step 1: Understand the definition of skew-symmetric matrices
A matrix \( B \) is skew-symmetric if \( B' = -B \), where \( B' \) denotes the transpose of matrix \( B \).

### Step 2: Write the expression we need to prove
We need to show that \( A'BA \) is skew-symmetric, which means we need to show:
\[
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