 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ia/paper-1/2a/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-29

λ A

multiplies every one of the

n

rows by

λ

. Applying multilinearity of the determinant once to each row gives

det (λ A) = λ^{n} det A .

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