Let X = ( 0 −1 ) and Y = ( 0  1 ) be elements in SL2(R).               [ 1   0 ]              [ -1 1 ]   (1) Find the order of each of the matrices X, Y, and Y X.   (2) Do the same if replacing SL2(R) by SL2(Z_5) ?

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A: We have to do matrices

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