# Linear Algebra: Determinant

by drosales
Tags: algebra, determinant, linear
 Mentor P: 18,346 Linear Algebra: Determinant Yes. Let E be an elementary matrix, can you show that $$det(EA+B)=det(B)$$ ??
 Mentor P: 18,346 Hint: $B=EE^{-1}B$. Use that $det(XY)=det(X)det(Y)$.