expm

Matrix exponential of symbolic matrices

Syntax

R = expm(A)

Description

R = expm(A) computes the matrix exponential of the square symbolic matrix A.

Examples

Matrix Exponential

Compute the matrix exponential for the 2-by-2 matrix and simplify the result.

syms x
A = [0 x; -x 0];
simplify(expm(A))

ans =
[  cos(x), sin(x)]
[ -sin(x), cos(x)]

Input Arguments

A — Input matrix

square matrix

Input matrix, specified as a square symbolic matrix.

Output Arguments

R — Resulting matrix

symbolic matrix

Resulting function, returned as a symbolic matrix.

More About

Matrix Exponential

The matrix exponential e^A of matrix A is

$$e^A={\displaystyle \sum _{k=0}^{\infty }\frac{1}{k!}{A}^k}=1+A+\frac{A^2}{2}+\dots$$

Version History

Introduced before R2006a