Past exam of the mathematics course of the University of Cambridge / 2026 / ib / Paper 1 / 8E / a / Solution

A Jordan form is block diagonal with blocks $J_k(\lambda )$ having $\lambda$ on the diagonal and ones on the superdiagonal. Over $\mathbb{C}$ every square matrix is similar to one, uniquely up to permutation of blocks.

Solved by gpt-5.6-sol high.