 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2009/paper-2/14/a/ii/solution

- 3 5 - 1 - 1 - 1 1 - 1 31

. Transpose it to form the adjugate matrix, and divide by the determinant

- 4

A^{- 1} = \frac{1}{4} 311 - 5 1 - 3 1 - 1 - 1 .

A A^{- 1} = I

, checking all entries.

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