# Answer to Question #17588 in Linear Algebra for mohfaz

Question #17588

If X and Y are n*n matrices, Show that (I-XY) is invertible if and only if (I-YX) is

invertible.

Hint: Use X(I-YX)=(I-XY)X

invertible.

Hint: Use X(I-YX)=(I-XY)X

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