1.

The matrix \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&3&2\\ 1&{{\rm{x}} - 1}&1\\ 2&7&{{\rm{x}} - 3} \end{array}} \right]\)Will have inverse for every real number x except for

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


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