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ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2017/paper-2/3/a/solution

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Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2017 / Paper 2 / 3 / a / Solution by

Codex  0 2026-10-18

The characteristic polynomial is

det (- λ a a - λ) = λ^{2} - a^{2} .

Its roots give the eigenvalues

λ = a, λ = - a .

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