Let matrix $[A]=\left[\begin{array}{cc}2 & -6 \\ 0 & 2\end{array}\right]$. Then for any non-trivial vector $\{x\}=\left\{\begin{array}{l}x_{1} \\ x_{2}\end{array}\right\}$, which of the following is true for the value of $K=\{x\}^{T}[A]\{x\}$ :
(A)K is always less than zero
(B) $\mathrm{K}$ is always greater thanzero
(C) $\mathrm{K}$ is non-negative
(D) $\mathrm{K}$ can be anything

Question ID - 155576 :-

Let matrix $[A]=\left[\begin{array}{cc}2 & -6 \\ 0 & 2\end{array}\right]$. Then for any non-trivial vector $\{x\}=\left\{\begin{array}{l}x_{1} \\ x_{2}\end{array}\right\}$, which of the following is true for the value of $K=\{x\}^{T}[A]\{x\}$ :
(A)K is always less than zero
(B) $\mathrm{K}$ is always greater thanzero
(C) $\mathrm{K}$ is non-negative
(D) $\mathrm{K}$ can be anything

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