Define Exponential Matrices?

geduiwelh 2021-01-10 Answered
Define Exponential Matrices?
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Expert Answer

ensojadasH
Answered 2021-01-11 Author has 100 answers
Step 1
A matrix function on square matrix analogous to the ordinary exponential function is a matrix exponential is a. It is used to solve systems of linear differential equations.
Step 2
Let X be an n×n real or complex matrix. The exponential of X, denoted by eX or exp(X), is the n×n matrix given by the power series
eX=k=01k!Xk
where X0 is defined to be the identity matrix I with the same dimensions as X.
The above series always converges, so the exponential of X is well-defined. If X is a 1×1 matrix the matrix exponential of X is a 1×1 matrix whose single element is the ordinary exponential of the single element of X.
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Jeffrey Jordon
Answered 2022-01-27 Author has 2047 answers

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