Matrix Exponential

Given a Square Matrix A, the matrix exponential is defined by

$$\mathop{\rm exp}\nolimits ({\hbox{\sf A}})\equiv e^{{\hbox{\... ...}+{{\hbox{\sf A}}{\hbox{\sf A}}{\hbox{\sf A}}\over 3!}+\ldots,$$

where I is the Identity Matrix.

See also Exponential Function, Matrix