- #1

essif

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Hi, I have a problem with an argument here.

I am given 4 Matrixes, A, C, D and F. see attachment..

I can then see that A^n = C*D^n*F = some matrix with a Fibonacci-serie in it.

I can also see that C*F=F*C=I or C is the inverse of F

My problem is to relate these two:

How can the fact that C is the inverse of F explain that A^n = C*D^n*F ?

NB. A^n = C*D^n*F is NOT true for any two C and F, C^-1=F, which in my mind make it even harder to see the relation.

I am given 4 Matrixes, A, C, D and F. see attachment..

I can then see that A^n = C*D^n*F = some matrix with a Fibonacci-serie in it.

I can also see that C*F=F*C=I or C is the inverse of F

My problem is to relate these two:

How can the fact that C is the inverse of F explain that A^n = C*D^n*F ?

NB. A^n = C*D^n*F is NOT true for any two C and F, C^-1=F, which in my mind make it even harder to see the relation.