Inegalitate cu determinant
Posted: Sat Jul 11, 2009 9:37 pm
Fie \( A,B\in M_n(\mathbb{R}) \) astfel incat \( AB=O_n \). Demonstrati ca \( \det(A^2+B^2)\geq0 \).
Mihai Opincariu
Mihai Opincariu
Folosind problema,
\( \det (A^2+B^2)=\det (A+B)^2\ge 0 \)