Hello, I have a little problem. I´ve calculated the fundamental matrix of a EDO system, such that:(adsbygoogle = window.adsbygoogle || []).push({});

M(t) = P * exp( J*t)

where J is a diagonal matrix:

J = [-3 , 0 ; 0 , 1] and P = [1 , 1 ; 3 , -3]

The problem arise when I try to find the inverse matrix of M. What I do is this

As we know the inverse of a product is the product of the inverse, so firstly I find P[tex]^{-1}[/tex]. Then I look for the inverse of exp(J*t), that in this case is exp( -J*t). That´s all. Now, when I do the product of the two inverse matrix, the result is not the resul of the inverse of M. Can anyone tell me where ir my mistake?

Thank you!

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# Inverse of a fundamental matrix

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