Determining set of similarity classes for matrix?

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Homework Statement



Determine the set of similarity classes of 3x3 matrices A, over C, which satisfy A^3 = 1. Determine..etc etc...which satisfy A^6 = 1.

Determine the set of similarity classes of 6x6 matrices A, over C, with characteristic polynomial:

char(A,x) = (x^4 -1)(x^2 - 1)

Homework Equations





The Attempt at a Solution



To find similar matrices, you probably have to find the rational, or jordan, or diagonal matrices...? I have no idea how to start these problems. =/
 

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