A. $\begin{bmatrix} 1 & 2 & 3\\2 & 4 & 5\\3 & 5 & 6\end{bmatrix}$ is a symmetric matrix

B. $\begin{bmatrix}0 & 0 &  0 \\0  & 0 & 0 \end{bmatrix}$ is a null matrix

C. $\begin{bmatrix} 1 & 0 & 0\\0 & 2 & 0\\0 & 0 & 3\end{bmatrix}$ is an Identity matrix

D. $\begin{bmatrix} 0 & 1 & 2\\-1 & 0 & 3\\-2 & 3 & 0\end{bmatrix}$ is a skew symmetric matrix

E. $\begin{bmatrix} \sqrt{3} & 0 & 0\\0 & \sqrt{3} & 0\\0 & 0 & \sqrt{3}\end{bmatrix}$ is a scalar matrix

Choose the correct answer from the options given below :

A, B, E only

The correct answer is Option (1) → A, B, E only

(C) → false

all diagonals need to be 1 for matrix to be identity matrix

(D) → it is not skew symmetric as matrix ≠ -(matrix^T)

Only A, B, E correct