Match List I with List II

Choose the correct answer from the options given below :

A-II, B-I, C-IV, D-III

The correct answer is Option (3) → A-II, B-I, C-IV, D-III

(A) $(A+A^T)^T=A^T+(A^T)^T$

$=A^T+A$

$=A+A^T$

$⇒(A+A^T)$ is symmetric matrix.

(B) $\begin{bmatrix} 1 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & 1\end{bmatrix}$ → Identity Matrix

(C) 

$(A-A^T)^T=A^T-(A^T)^T$

$=A^T-A$

$=-(A-A^T)$

$⇒(A-A^T)$ is skew-symmetric matrix.

(D) $\begin{bmatrix} 2 & 0 \\0 & 2\end{bmatrix}$ → Scalar Matrix