grandes-ecoles 2010 QI.A.3

grandes-ecoles · France · centrale-maths2__mp Proof Proof of Equivalence or Logical Relationship Between Conditions
We say that $\varphi$ is non-degenerate if and only if $E^{\perp\varphi} = \{0\}$.
Show that $\varphi$ is non-degenerate if and only if $h$ is an isomorphism.
We say that $\varphi$ is non-degenerate if and only if $E^{\perp\varphi} = \{0\}$.

Show that $\varphi$ is non-degenerate if and only if $h$ is an isomorphism.