If A = [ 5 x y 0 ] and A is a symmetric matrix, then:

Question

If $A = [\begin{matrix} 5 & x \\ y & 0 \end{matrix}]$ and $A$ is a symmetric matrix, then:

Smart Achievers · Accepted Answer

(1)

Ans. $x = y$

Explanation:

Let $A = [\begin{matrix} 5 & x \\ y & 0 \end{matrix}]$

For a symmetric matrix,

$A' = A$

$∴$ $[\begin{matrix} 5 & x \\ y & 0 \end{matrix}] = [\begin{matrix} 5 & y \\ x & 0 \end{matrix}]$

$∴$ $x = y$

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