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2018-11-22 18:17:30 +0100 received badge  Editor (source)
2018-11-22 18:17:02 +0100 asked a question Eigenvectors of matrices over finite fields

Hi. Is there a command which computes the eigenvectors of matrices over finite fields (if it exists). The eigenvalue command does compute the eigenvalues of the matrix but the eigenvectors_right() gives an error. Is there a workaround for this problem.

Thanks in advance.

2018-06-03 18:56:18 +0100 asked a question Elementary divisors of a matrix

Hi,

I need to compute elementary divisors of a matrix (xI-A), where A is a matrix defined over GF(2). So, i try to define a univariate polynomial ring (R) over GF(2) and compute the elementary divisors of (xI-A) using the elementary_divisors() procedure. But as the size of the matrix increases, the algorithm is too slow. My matrices are of dimension 100.

Can anyone suggest an alternative approach to solve the problem.

2018-01-19 06:45:10 +0100 received badge  Student (source)
2018-01-18 16:05:08 +0100 asked a question Regarding rational canonical form/frobenius form of matrices over finite fields

Hi,

The sagemath documentation on linear algebra describes a function frobenius which computes the frobenius normal form (rational canonical form) of a matrix over integers. The same command doesnt work on matrices over finite fields. Can someone help me to find the frobenius form of matrices over finite fields

Sample code :

A = matrix(GF(2),[[1,0,0],[0,0,1],[1,1,0]])

A.frobenius()

This code gives the error

'sage.matrix.matrix_mod2_dense.Matrix_mod2_dense' object has no attribute 'frobenius'