Question

7) The matrix M is given by \mathbf{M}=\left(\begin{array}{rrr} k & -1 & 1 \\ 1 & 0 & -1 \\ 3 & -2 & 1 \end{array}\right), \quad k \neq 1

(a) Show that det M = 2 – 2k. (b) Find M^-1, in terms of k.

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