 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2003/paper-1/5/c/iii/solution

Codex  0 Created 2026-10-18 Updated 2026-10-20

The shapes in

M M^{T}

are

(3 \times n) (n \times 3)

, whose inner dimensions always match. Hence every positive integer $n$ is allowed, and the resulting matrix is

3 \times 3

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