- #1
kidsasd987
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this is not a homework question, I just want to make sense of the equation here.
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?
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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