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2.46.4  Rational Jordan matrix : rat_jordan

rat_jordan takes as argument a square matrix A of size n with exact coefficients.
rat_jordan returns :

Remarks

Input in Xcas, Mupad or TI mode :

rat_jordan([[1,0,0],[1,2,-1],[0,0,1]])

Output :

[[0,1,0],[1,0,1],[0,1,1]],[[2,0,0],[0,1,0],[0,0,1]]

Input in Xcas, Mupad or TI mode :

rat_jordan([[4,1,-2],[1,2,-1],[2,1,0]])

Output :

[[[1,2,1],[0,1,0],[1,2,0]],[[2,1,0],[0,2,1],[0,0,2]]]

In complex mode and in Xcas, Mupad or TI mode , input :

rat_jordan([[2,0,0],[0,2,-1],[2,1,2]])

Output :

[[1,0,0],[-2,-1,-1],[0,-i,i]],[[2,0,0],[0,2-i,0],[0,0,2+i]]

Input in Maple mode :

rat_jordan([[1,0,0],[1,2,-1],[0,0,1]],’P’)

Output :

[[2,0,0],[0,1,0],[0,0,1]]

then input :

P)

Output :

[[0,1,0],[1,0,1],[0,1,1]]]

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