grandes-ecoles 2014 Q1

grandes-ecoles · France · x-ens-maths2__mp Matrices Matrix Power Computation and Application
Calculate the exponential of the matrix $M_{p,q,r}$, where $$M_{p,q,r} = \begin{pmatrix} 0 & p & r \\ 0 & 0 & q \\ 0 & 0 & 0 \end{pmatrix}.$$
Calculate the exponential of the matrix $M_{p,q,r}$, where
$$M_{p,q,r} = \begin{pmatrix} 0 & p & r \\ 0 & 0 & q \\ 0 & 0 & 0 \end{pmatrix}.$$