trace of a diagonalizable matrix

Proposition

Let 20250206-trace_of_a_diagonalizable_matrix_e97d8396e8125bc021268f9f190592002d144779.svg be a diagonalizable Matrix with

20250206-trace_of_a_diagonalizable_matrix_0eee2d87585ca6040eda01012fbb57c6c5cc3329.svg

where

20250206-trace_of_a_diagonalizable_matrix_412ad3a4c603f0d200db97d6a0811566c0728367.svg

Then the trace is given by

20250206-trace_of_a_diagonalizable_matrix_380f686df4986f6c8b238c120f9071f75e9eee34.svg

Proof

corollary of

20250206-trace_of_a_diagonalizable_matrix_ed2814323742d6b791147732dd22d24896556867.svg

Date: nil

Author: Anton Zakrewski

Created: 2025-02-16 So 21:00