grandes-ecoles 2017 QII.E.3

grandes-ecoles · France · centrale-maths2__psi Invariant lines and eigenvalues and vectors Eigenvalue constraints from matrix properties
We denote $Q = A _ { p - 1 } A _ { p - 2 } \cdots A _ { 0 }$. Show that if $| \operatorname { tr } Q | < 2$, then every solution of (II.2) is bounded. 
We denote $Q = A _ { p - 1 } A _ { p - 2 } \cdots A _ { 0 }$. Show that if $| \operatorname { tr } Q | < 2$, then every solution of (II.2) is bounded.
Paper Questions
QI.A.1 QI.A.2 QI.A.3 QI.A.4 QI.B.1 QI.B.2 QII.A.1 QII.A.2 QII.A.3 QII.A.4 QII.A.5 QII.B.1 QII.B.2 QII.B.3 QII.C QII.D.1 QII.D.2 QII.E.1 QII.E.2 QII.E.3 QIII.A QIII.B.1 QIII.B.2 QIII.C QIII.D.1 QIII.D.2 QIII.E.1 QIII.E.2 QIII.E.3 QIV.A.1 QIV.A.2 QIV.B.1 QIV.B.2 QIV.B.3 QIV.C.1 QIV.C.2 QIV.C.3 QIV.D.1 QIV.D.2 QV.A QV.B.1 QV.B.2 QV.B.3 QV.B.4