 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ia/paper-1/6c/c/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

χ_{B} (B) = 0

. Since

B

is nilpotent, all eigenvalues and hence every non-leading coefficient of

χ_{B} (t)

vanish, so

χ_{B} (t) = t^{n}

and

B^{n} = 0

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