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.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Linear Algebra: Determinant

**Physics Forums | Science Articles, Homework Help, Discussion**