grandes-ecoles 2020 Q1

grandes-ecoles · France · centrale-maths2__mp Matrices Linear Transformation and Endomorphism Properties

Let $F$ be a vector subspace of $E$ stable under $u$. Show that the orthogonal complement $F^{\perp}$ of $F$ is stable under $u$.

Let $F$ be a vector subspace of $E$ stable under $u$. Show that the orthogonal complement $F^{\perp}$ of $F$ is stable under $u$.