Question

\begin{array}{l} [8 \text { points }] \text { Let } B=\left(\begin{array}{lll} 2 & 6 & 6 \\ 2 & 7 & 6 \\ 2 & 7 & 7 \end{array}\right) \text

{ and let } C=\left(C_{i j}\right)=B^{-1} \text { . The main diagonal } C_{11}, C_{22}, C_{33}\\ \text { of } C \text { consists of } \end{array} \text { (A) } \frac{7}{2}, 1,1 \text { (B) } \frac{7}{2},-1,-1 \text { (C) } \frac{5}{2}, 1, \frac{3}{2} \text { (D) } \frac{5}{2}, \frac{1}{2}, 1 \text { (E) } \frac{7}{2}, 1,-1 \text { (F) None of }(\mathrm{A})-(\mathrm{E}) \text { . }

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