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 :
Answer & explanation
Correct answer: option 1
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 $3×3$.