CUET Preparation Today
Let A and B be symmetric matrices of same order, then which of the following statements is true ? |
(A +B) is a symmetric matrix (AB) is a symmetric matrix (A +B) is a skew-symmetric matrix (AB) is a skew-symmetric matrix |
(A +B) is a symmetric matrix |
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. |
