grandes-ecoles 2013 QII.B.4

grandes-ecoles · France · centrale-maths2__psi Matrices Matrix Power Computation and Application

Let $B \in M_3(\mathbb{R})$ be antisymmetric.
Show that $E(B)$ exists and is a rotation matrix. Specify the value of its unoriented angle as a function of $\|B\|_2$.

Let $B \in M_3(\mathbb{R})$ be antisymmetric.

Show that $E(B)$ exists and is a rotation matrix. Specify the value of its unoriented angle as a function of $\|B\|_2$.

Paper Questions

QI.A QI.B QII.A.1 QII.A.2 QII.A.3 QII.B.1 QII.B.2 QII.B.3 QII.B.4 QIII.A.1 QIII.A.2 QIII.A.3 QIII.B.1 QIII.B.2 QIII.B.3 QIII.C.1 QIII.C.2 QIV.A.1 QIV.A.2 QIV.B QIV.C QIV.D QIV.E QIV.F QV.A.1 QV.A.2 QV.A.3 QV.A.4 QV.B.1 QV.B.2 QV.B.3 QV.B.4