grandes-ecoles 2010 QII.B.2

grandes-ecoles · France · centrale-maths2__psi Groups Symplectic and Orthogonal Group Properties
In this section, the dimension of $E$ is 4. Verify that for all $(x_{0}, x_{1}, x_{2}, x_{3}) \in \mathbb{R}^{4}$, $M(x_{0}, x_{1}, x_{2}, x_{3})$ is a similarity matrix. What can we conclude? 
In this section, the dimension of $E$ is 4. Verify that for all $(x_{0}, x_{1}, x_{2}, x_{3}) \in \mathbb{R}^{4}$, $M(x_{0}, x_{1}, x_{2}, x_{3})$ is a similarity matrix. What can we conclude?
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