 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2007/paper-2/section-b/7/c/i/solution

Expansion of the determinant gives

det M = - μ - μ = - 2 μ

. The matrix inverse exists precisely when

μ \neq = 0.

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