Question

If $A$ is a symmetric matrix, then the transpose of $A'$ is equal to

• A. $-A$
• B. $A$
• C. Identity Matrix
• D. Null Matrix

Hint:

For any matrix $A$, $(A')' = A$. In symmetric matrices, $A = A'$.

Answer 1

The Correct Option is B

Step 1: Recall the definition of a symmetric matrix.
A matrix $A$ is symmetric if \[ A' = A \]
Step 2: Take transpose of $A'$.
\[ (A')' = A \]
Step 3: Conclusion.
The transpose of $A'$ is equal to $A$.