2017-10 An inequality for determinant

Let \(A\), \(B\) be matrices over the reals with \(n\) rows. Let \(M=\begin{pmatrix}A  &B\end{pmatrix}\). Prove that \[ \det(M^TM)\le \det(A^TA)\det(B^TB).\]

GD Star Rating
loading...
2017-10 An inequality for determinant, 1.9 out of 5 based on 33 ratings