SOLUTION: Prove that a matrix A, 2x2 conmutes with any matrix 2x2 if and only if A conmutes with each of the matrices [1 0; 0 0], [0 1; 0 0], [0 0;1 0] [0 0; 0 1].
Find all those matrices
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-> SOLUTION: Prove that a matrix A, 2x2 conmutes with any matrix 2x2 if and only if A conmutes with each of the matrices [1 0; 0 0], [0 1; 0 0], [0 0;1 0] [0 0; 0 1].
Find all those matrices
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Question 1206243: Prove that a matrix A, 2x2 conmutes with any matrix 2x2 if and only if A conmutes with each of the matrices [1 0; 0 0], [0 1; 0 0], [0 0;1 0] [0 0; 0 1].
Find all those matrices A.
In this matrix notation a space refers to a change in column, and a semicolon to a change in row.
Thank you. Answer by ikleyn(52848) (Show Source):
