 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/i/solution

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

The product of a

3 \times n

matrix with another

3 \times n

matrix requires its inner dimensions

n

and three to match. Thus

n = 3

is necessary and sufficient for

M^{2}

to be defined.

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