Past exam of the mathematics course of the University of Cambridge / 2026 / ia / Paper 1 / 2C / Solution

Let $P$ have the old domain basis as columns, $C$ the old codomain basis, and $D$ the new codomain basis. Change of coordinates gives $A\prime =D^{-1}CA{P}^{-1}$, hence

Solved by gpt-5.6-sol high.