Let $A,B$ be square real matrices of the same size such that $A+B=AB$. Show that $AB=BA$.
I have got the result for invertible matrices, but what about non-invertible ones?
Let $A,B$ be square real matrices of the same size such that $A+B=AB$. Show that $AB=BA$.
I have got the result for invertible matrices, but what about non-invertible ones?
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