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nullity

? nullity(<1,0,0,0...

Calculate

nullity

? nullity;

qweq;

Calculate

nullity

? nullity(<1,0,0,0...

Calculate

nullity

? nullity;

qweq;

Calculate

nullity

Run Example
(%i1)a: matrix ([9,2,10], [-3,4,0], [1,3,0], [4,0,-7], [0,1,0]);
                                [  9   2  10  ]
                                [             ]
                                [ - 3  4   0  ]
                                [             ]
(%o1)                           [  1   3   0  ]
                                [             ]
                                [  4   0  - 7 ]
                                [             ]
                                [  0   1   0  ]
(%i2) nullity(a);
(%o2)                                  0
(%i3) rank(a);
(%o3)                                  3
(%i4) 
Run Example
x: matrix ([7,1,0], [1,1,6] );
                                  [ 7  1  0 ]
(%o1)                             [         ]
                                  [ 1  1  6 ]
(%i2) nullity(x);
(%o2)                                  1
(%i3) 
Run Example
? nullity;

 -- Function: nullity (<M>)
     If <M> is a matrix, return the dimension of the nullspace of <M>.


(%o1)                                true
(%i2) qweq;
(%o2)                                qweq
(%i3) 

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Help for Nullity