Ononot — For what value of c does the homogeneous system \begin{bmatr

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Linear Systemshard

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For what value of $c$ does the homogeneous system $\begin{bmatrix} 1 & 2 \\ 2 & c \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \end{bmatrix}$ have infinitely many nontrivial solutions?