If $A = \begin{bmatrix} 5 & x \\ y & 0 \end{bmatrix}$ and $A = A^T$, where $A^T$ is the transpose of the matrix $A$, then:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $x = y$ ##
$A = \begin{bmatrix} 5 & x \\ y & 0 \end{bmatrix}$, $A^T = \begin{bmatrix} 5 & y \\ x & 0 \end{bmatrix}$
Since $A = A^T$:
$\begin{bmatrix} 5 & x \\ y & 0 \end{bmatrix} = \begin{bmatrix} 5 & y \\ x & 0 \end{bmatrix}$
$∴x = y$