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Hi. Why is no kernel found for the 2x3 matrix A: A= [[2,3,5];[-4,2,3]] ?

sage: A = matrix([[2,3,5],[-4,2,3]]) sage: A [ 2 3 5] [-4 2 3] sage: A.kernel() Free module of degree 2 and rank 0 over Integer Ring Echelon basis matrix: []

However we know that the kernel is given by: x=-z/16 and y=-13z/8

Hi. Why is no kernel found for the 2x3 matrix A: A= [[2,3,5];[-4,2,3]] A=[2,3,5];[-4,2,3] ?

 sage: A = matrix([[2,3,5],[-4,2,3]])  
sage: A   
[ 2  3  5]  
[-4  2  3]  
sage: A.kernel()  
Free module of degree 2 and rank 0 over Integer Ring  
Echelon basis matrix:  
[]  
[]

Hi. Why is no kernel found for the 2x3 matrix A=[2,3,5];[-4,2,3] ?

sage: A = matrix([[2,3,5],[-4,2,3]])  
sage: A   
[ 2  3  5]  
[-4  2  3]  
sage: A.kernel()  
Free module of degree 2 and rank 0 over Integer Ring  
Echelon basis matrix:  
[]

However we know that the kernel is should be given by: x=-z/16 and y=-13z/8

Hi. Why is no kernel found for the 2x3 matrix A=[2,3,5];[-4,2,3] ?

sage: A = matrix([[2,3,5],[-4,2,3]])  
sage: A   
[ 2  3  5]  
[-4  2  3]  
sage: A.kernel()  
Free module of degree 2 and rank 0 over Integer Ring  
Echelon basis matrix:  
[]

However we know that the kernel should be given by: x=-z/16 and y=-13z/8