grandes-ecoles 2013 QIV.B

grandes-ecoles · France · centrale-maths2__psi Matrices Matrix Power Computation and Application
Let $A \in M_p(\mathbb{C})$ be nilpotent of order $k$.
Show that $E(A)$ exists. Propose a Maple or Mathematica procedure taking as input a strictly upper triangular matrix $A$ and returning the value of $E(A)$.
Let $A \in M_p(\mathbb{C})$ be nilpotent of order $k$.

Show that $E(A)$ exists. Propose a Maple or Mathematica procedure taking as input a strictly upper triangular matrix $A$ and returning the value of $E(A)$.