Dear Jianrong,
In case of GF(2), each diagonalizable square matrix represents a
projection. Thus you just need to check whether the matrix is equal to
its square.
HTH,
Dmitrii

On 1 January 2013 21:11, 李建荣 <l...@lzu.edu.cn> wrote:
> Dear Forum,
>
>
> How to check that whether a matrix over GF(2) is diagonalizable or not using 
> GAP? Is there some function in GAP which can check that whether a matrix over 
> GF(2) is diagonalizable or not? I only find the function DiagonalizeMatrix in 
> GAP. Thank you very much.
>
> With best wishes,
> Jianrong.
>
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