If A=4x+22x-3x+1 is symmetric, then trace of A is

A is symmetric ⇒ AT=A ⇒ [42x−3x+2x+1]−[4x+22x−3x+1] ∴ 2x−3=x+2 ⇒ x=5 Tr(A)=4+5+1=10

If A=4x+22x-3x+1 is symmetric, then trace of A is

A is symmetric ⇒ AT=A ⇒ [42x−3x+2x+1]−[4x+22x−3x+1] ∴ 2x−3=x+2 ⇒ x=5 Tr(A)=4+5+1=10

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If $A = [\begin{matrix} 4 & x + 2 \\ 2 x - 3 & x + 1 \end{matrix}]$ is symmetric, then trace of A is

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A is symmetric $\Rightarrow A^{T} = A$
$\Rightarrow [\begin{matrix} 4 & 2 x - 3 \\ x + 2 & x + 1 \end{matrix}] - [\begin{matrix} 4 & x + 2 \\ 2 x - 3 & x + 1 \end{matrix}] ∴ 2 x - 3 = x + 2 \Rightarrow x = 5 T_{r} (A) = 4 + 5 + 1 = 10$

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If A=4x+22x-3x+1 is symmetric, then trace of A is

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If $A = [\begin{matrix} 4 & x + 2 \\ 2 x - 3 & x + 1 \end{matrix}]$ is symmetric, then trace of A is