grandes-ecoles 2014 QIIIA2

grandes-ecoles · France · centrale-maths1__mp Matrices Matrix Power Computation and Application

For $(A, B) \in \mathcal{M}_d(\mathbb{R})^2$ such that $A$ and $B$ commute, show that $\exp(\mathrm{i}A)\exp(\mathrm{i}B) = \exp(\mathrm{i}(A+B))$.

For $(A, B) \in \mathcal{M}_d(\mathbb{R})^2$ such that $A$ and $B$ commute, show that $\exp(\mathrm{i}A)\exp(\mathrm{i}B) = \exp(\mathrm{i}(A+B))$.