this is not a homework question, I just want to make sense of the equation here.(adsbygoogle = window.adsbygoogle || []).push({});

Assuming matrix A is diagonal,

If A_hat=T'AT where T' is an inverse matrix of T.

e^(A_hat*t)=T'e^(At)T

which implies,

e^(T'AT*t)=T'e^(At)T

we know that e^(At) is a linear mapping, therefore if we convert f to some linear transformation P,

PT'AT=T'PAT (not sure if this step is correct) this condition should be always true, but why?

can anyone provide me a short proof of this?

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# I Proving Matrix exponential property

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