I need help with another homework problem(adsbygoogle = window.adsbygoogle || []).push({});

Let n be a positive integer and A_{n*n}a matrix such that det(A+B)=det(B) for all B_{n*n}. Show that A=0

Hint: prove property continues to hold if A is modified by any finite number of row or column elementary operations

It seems obvious that A=0 but i'm having trouble developing the proof. Any help would be great.

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# Homework Help: Linear Algebra: Determinant

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