grandes-ecoles 2010 QI.B.4

grandes-ecoles · France · centrale-maths2__psi Groups Symplectic and Orthogonal Group Properties
Let $f$ be an antisymmetric endomorphism of $E$. What is $f^{2} = f \circ f$ if $f$ is an orthogonal automorphism and antisymmetric of $E$? 
Let $f$ be an antisymmetric endomorphism of $E$. What is $f^{2} = f \circ f$ if $f$ is an orthogonal automorphism and antisymmetric of $E$?
Paper Questions
QI.A.1 QI.A.2 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QI.C.1 QI.C.2 QI.C.3 QI.C.4 QI.C.5 QI.D.1 QI.D.2 QI.D.3 QI.D.4 QII.A.1 QII.A.2 QII.B.1 QII.B.2 QII.C.1 QII.C.2 QII.C.3 QII.C.4 QII.C.5 QII.C.6 QII.D QII.E