Matrix exponential Totally Explained

Everything about Matrix Exponential totally explained

In mathematics, the matrix exponential is a matrix function on square matrices analogous to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group. Let X be an n×n real or complex matrix. The exponential of X, denoted by e^X or exp(X), is the n×n matrix given by the power series ť

e^X = sum_

which can be further simplified to get the requisite particular solution determined through variation of parameters.

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