If A is symmetric matrix, then B'AB is............

Explanation

To determine the nature of the matrix \( B'AB \) where \( A \) is a symmetric matrix, we will follow these steps:

### Step 1: Understand the properties of symmetric matrices
A matrix \( A \) is symmetric if \( A' = A \). This means that the transpose of \( A \) is equal to \( A \) itself.

**Hint:** Recall the definition of a symmetric matrix.

### Step 2: Take the transpose of \( B'AB \)
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