Trigonometric functions of matrices: Difference between revisions

Revision as of 16:40, 26 February 2016

Revision as of 16:55, 26 February 2016

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</math>

with <math>X^n</math> being the <math>n</math>-th [[Matrix multiplication#Powers of matrices|power]] of the matrix <math>X</math> and <math>I</math> being the [[unityidentity matrix]] of appropriate dimensions. Equivalently, they can be defined using the matrix equivalent of [[Euler's formula]] along with the [[matrix exponential]], <math>e^{iX} = \cos X + i \sin X</math>, yielding

:<math>

\begin{align}