 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2004/paper-1/6/ii/solution

For

k = 1

, the required right-hand matrix has twice the first row of

A

, the same second row, and twice the third row. Left multiplication scales rows, so

B = diag (2, 1, 2) .

Equivalently, right multiply the given equation

B A = C

A^{- 1}

to obtain the same answer.

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