 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/ia/paper-1/8a/d/solution

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

(1, 0, 1)^{T}, (0, 1, 0)^{T}, (1, 0, - 1)^{T}

B

2, 1, 0

. Applying the exponential to these eigenspaces gives

e^{B} = (1 + e^{2}) /2 0 (e^{2} - 1) /2 0 e 0 (e^{2} - 1) /2 0 (1 + e^{2}) /2 .

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