Question: (7) (7 marks) Consider matrices A = 2 - A and B = Recall that we say two matrices X and Y commute if XY

(7) (7 marks) Consider matrices A = 2 - A and B = Recall that we say two matrices X and Y commute if XY = YX. (a) Find all 2 x 2 matrices C = y z W that commute with A. (Hint, form a linear system for the entries of C and solve it). (b) Write any matrix C = w that commute with A as linear combination of B and the identity matrix

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