If the matrix A is both symmetric and skew symmetric, then (A) A is a diagonal matrix     (B) A is a zero matrix (C) A is a square matrix    (D) None of these

Explanation

To solve the question, we need to analyze the properties of a matrix that is both symmetric and skew-symmetric.

### Step-by-Step Solution:

1. **Understand the Definitions**:
- A matrix \( A \) is **symmetric** if \( A^T = A \).
- A matrix \( A \) is **skew-symmetric** if \( A^T = -A \).

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