If AS = SA for the shift matrix S, show that A must have this special form: If [~ ! i]

Chapter 3, Problem 37

(choose chapter or problem)

If AS = SA for the shift matrix S, show that A must have this special form: If [~ ! i] [~ b ~] = [~ b ~] [~ ! i] then A = [~ : g hi 000 000 g h i 00 "The subspace of matrices that commute with the shift S has dimension __

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