MatrixExp

MatrixExp[m] gives the matrix exponential of m.

Examples

Matrix exponential:

MatrixExp[{{0, t}, {-t, 0}}]
(* {{Cos[t], Sin[t]}, {-Sin[t], Cos[t]}} *)

Diagonal matrix:

MatrixExp[{{1, 0}, {0, 2}}]
(* {{E, 0}, {0, E^2}} *)

Please visit the official Wolfram Language Reference for more details.