ApCoCoA-1:LinAlg.CharPoly
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LinAlg.CharPoly
Computes the characteristic polynomial of a matrix.
Syntax
LinAlg.CharPoly(M:MAT, X:POLY):LIST
Description
Please note: The function(s) explained on this page is/are using the ApCoCoAServer. You will have to start the ApCoCoAServer in order to use it/them.
This function returns the characteristic polynomial of M in the indeterminate X computed by the ApCoCoAServer using functions of the LinBox library.
@param M A matrix with arbitrary entries over the current ring, but whose components do not contain the indeterminate X.
@param X An indeterminate.
@return The characteristic polynomial of M in the indeterminate X.
Example
Use R ::= ZZ/(19)[x]; LinAlg.CharPoly(BringIn(Mat([[1,2,3],[4,5,6],[7,8,9]])), x); ------------------------------- x^3 + 4x^2 + x -------------------------------
Example
Use R ::= ZZ[x]; LinAlg.CharPoly(Mat([[1,2,3],[4,5,6],[7,8,9]]), x); ------------------------------- x^3 - 15x^2 - 18x -------------------------------
