 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/ii/solution

For

μ \neq = 0

, the adjugate matrix formula, or elimination on the three unit right-hand sides, gives

M^{- 1} = \frac{1}{2 μ} \frac{1}{2} - \frac{1}{2 μ} \frac{1}{2} - \frac{μ}{2} \frac{1}{2} - \frac{1}{2 μ} \frac{1}{2} \frac{1}{2 μ} .

M

 New to topics? Read the docs here!