1.

The matrix \[A=\left[ \begin{matrix}    1 & 3 & 2  \\    1 & x-1 & 1  \\    2 & 7 & x-3  \\ \end{matrix} \right]\] will have inverse for every real number x except for

A. \[x=\frac{11\pm \sqrt{5}}{2}\]
B. \[x=\frac{9\pm \sqrt{5}}{2}\]
C. \[x=\frac{11\pm \sqrt{3}}{2}\]
D. \[x=\frac{9\pm \sqrt{3}}{2}\]
Answer» B. \[x=\frac{9\pm \sqrt{5}}{2}\]


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