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Issimilar - determine similarity of matrices
Calling Sequence
Issimilar(A, B)
Issimilar(A, B, 'P')
Parameters
A
-
square Matrix
B
'P'
(optional) assigned a transformation matrix
Description
The function Issimilar(A, B) is a placeholder for the boolean valued function that returns true if A is similar to B and false otherwise. It is used in conjunction with either mod or evala.
If called in the form Issimilar(A, B,'P'), then P will be assigned a transformation matrix such that .
The call Issimilar(A, B) mod p determines if A is similar to B modulo p which is a prime integer. The entries of A and B must have rational coefficients or coefficients from an algebraic extension of the integers modular p.
The call evala(Issimilar(A, B)) determines if A is similar to B where the entries of A and B are algebraic numbers (or functions) defined by RootOfs.
Examples
See Also
Domains, LinearAlgebra, LinearAlgebra[IsSimilar], LinearAlgebra[Modular], mod
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