BUILT-IN MATHEMATICA SYMBOL

MatrixExp

MatrixExp[m]
gives the matrix exponential of m.

MatrixExp[m, v]
gives the matrix exponential of m applied to the vector v.

Details and Options Details and Options

MatrixExp[m] effectively evaluates the power series for the exponential function, with ordinary powers replaced by matrix powers.
MatrixExp works only on square matrices.
In MatrixExp[m, v] the matrix m can be a SparseArray object.

Exponential of a 2×2 matrix:

Out[1]=

Out[2]=

Exponential applied to a vector:

Out[1]=

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