The matrix shown here is : $\begin{bmatrix} 5 & 2 & -3\\2 & 5 & -1\\3 & -1 & 5 \end{bmatrix}$

A. Diagonal

B. upper triangular

C. symmetric

D. square

E. skew-symmetric

Choose the correct answer from the options given below :

C, D only

The correct answer is Option (1) → C, D only

(C) Symmetric Matrix, $A^T=A$

$\begin{bmatrix} 5 & 2 & 3\\2 & 5 & -1\\3 & -1 & 5 \end{bmatrix}^T=\begin{bmatrix} 5 & 2 & 3\\2 & 5 & -1\\3 & -1 & 5 \end{bmatrix}$

(D) And, it is a square matrix of order $3×3$.