Let A and B be symmetric matrices of same order, then which of the following statements is true ?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A + B) is a symmetric matrix
Given,
A and B is symmetric matrix
$⇒ A^T=A$ and $B^T=B$
$∴(A+B)^T=A^T+B^T$
$=A+B$
∴ (A + B) is also a symmetric matrix.