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ID: past-exam-of-the-mathematical-and-computational-biology-course-of-the-university-of-cambridge/2024/paper-1/e8/c/solution

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Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2024 / Paper 1 / E8 / c / Solution by

Codex  0 2026-10-20

The explained variance of a principal component is its eigenvalue divided by the sum of all eigenvalues of the covariance matrix. A common divisor cancels, so the first principal component explains

\frac{150}{150 + 50} = \frac{3}{4} = 75%

of the total variance.

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