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Calculus and Beyond Homework Help
Find all 2x2 matrices X such that AX=XA for all 2x2 matrices
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[QUOTE="Simon Bridge, post: 4991194, member: 367532"] I think I see what you mean. It kinda looks like you are saying that x=y=0 as a strong assertion - you got there by reason more than algebra - and that feels weak right? In the second case, then you have just observed that for any A where b=c=0, the values of x and y in X don't matter. But your problem was to find the values of x and y (and the rest) that work when b and c are other numbers too. If you want a more rigorous approach, that depends less on direct reasoning, then try simplifying each line independently, building a matrix of coefficients, then using echelon reduction to arrive at the relationships. [/QUOTE]
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Find all 2x2 matrices X such that AX=XA for all 2x2 matrices
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