grandes-ecoles 2016 QIII.B.2

grandes-ecoles · France · centrale-maths1__mp 3x3 Matrices Matrix Algebraic Properties and Abstract Reasoning

Let $B > 0$ in $\mathcal{M}_n(\mathbb{R})$ and $x \geqslant 0$ in $\mathbb{R}^n$ with $x \neq 0$. Show that $Bx > 0$.

Let $B > 0$ in $\mathcal{M}_n(\mathbb{R})$ and $x \geqslant 0$ in $\mathbb{R}^n$ with $x \neq 0$. Show that $Bx > 0$.