(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose one has n×n square matrices X, Y and Z such that

XY = 1and Y Z = 1. Show that it follows that X = Z.

3. The attempt at a solution

Now I know if the equatoins had been XY and ZY I would do this:

XY=ZY -> XY-ZY=0 -> Y(X-Z)=0 -> X-Z=0 -> X=Z

I was wondering if this holds when the Y is on opposite sides of the other matrices?

Thanks in advanced!

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# Homework Help: Matrix Multiplication Question

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