grandes-ecoles 2014 QII.A.2

grandes-ecoles · France · centrale-maths2__psi Groups Symplectic and Orthogonal Group Properties

Let $a , b , c$ and $d$ be four real numbers. We consider the matrix of $\mathcal { M } _ { 2 } ( \mathbb { R } )$ $$L = \left( \begin{array} { l l } a & b \\ c & d \end{array} \right)$$ Write the equations on $a , b , c , d$ expressing the membership of $L$ in $O ( 1,1 )$.

Let $a , b , c$ and $d$ be four real numbers. We consider the matrix of $\mathcal { M } _ { 2 } ( \mathbb { R } )$
$$L = \left( \begin{array} { l l } a & b \\ c & d \end{array} \right)$$
Write the equations on $a , b , c , d$ expressing the membership of $L$ in $O ( 1,1 )$.

Paper Questions

QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.A.5 QI.B.1 QI.B.2 QI.B.3 QI.B.4 QII.A.1 QII.A.2 QII.A.3 QII.A.4 QII.B QII.C QII.D QIII.A QIII.B QIII.C QIII.D QIII.E.1 QIII.E.2 QIII.F.1 QIII.F.2 QIII.F.3 QIII.F.4 QIII.G QIII.H QIII.I