grandes-ecoles 2010 QI.A.1

grandes-ecoles · France · centrale-maths2__psi Groups Subgroup and Normal Subgroup Properties
Show that the set of non-zero similarities is a subgroup of $GL(E)$ under composition of applications. 
Show that the set of non-zero similarities is a subgroup of $GL(E)$ under composition of applications.
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