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nullspace

? nullspace;

Calculate

nullspace

? nullspace;

L(y(x))=dy/dx(x)+y(x);

Calculate

nullspace

? nullspace;

[3 -26 -4];

Calculate

nullspace

? nullspace;

[1, 2, 3];

Calculate

nullspace

? nullspace;

3 -26 -4;

Calculate

nullspace

? nullspace;

Calculate

nullspace

? nullspace;

L(y(x))=dy/dx(x)+y(x);

Calculate

nullspace

? nullspace;

[3 -26 -4];

Calculate

nullspace

? nullspace;

[1, 2, 3];

Calculate

nullspace

? nullspace;

3 -26 -4;

Calculate

nullspace

Run Example
(%i1)m:matrix([3,1,-5,3,5],[-1,3,-5,4,-5],[2,4,4,-3,5]);
                           [  3   1  - 5   3    5  ]
                           [                       ]
(%o1)                      [ - 1  3  - 5   4   - 5 ]
                           [                       ]
                           [  2   4   4   - 3   5  ]
(%i2) nullspace(m);
                                [  0   ]  [  30  ]
                                [      ]  [      ]
                                [ - 15 ]  [ - 10 ]
                                [      ]  [      ]
(%o2)                      span([ 225  ], [ 100  ])
                                [      ]  [      ]
                                [ 330  ]  [ 140  ]
                                [      ]  [      ]
                                [  30  ]  [  0   ]
(%i3) 
Run Example
m:matrix([10,8],[-6,-6],[0,1],[2,1]);
                                 [ 10    8  ]
                                 [          ]
                                 [ - 6  - 6 ]
(%o1)                            [          ]
                                 [  0    1  ]
                                 [          ]
                                 [  2    1  ]
(%i2) nullspace(m);
(%o2)                               span()
(%i3) 
Run Example
m:matrix([1 , 0 , 0 , 0  , -1 , 0 , 0 , 0 ,  0 , 0  , 0 ],[ -1 , 1 , 0 , 0  , 0 , 0 , 0 , 0 ,  0 , 0 ,  0 ],[0 , -1 , 1 , 0 ,0 ,0 ,0 , 0, 0 , 0  , 0 ],[0 , 0 , -1 , 1 ,0 ,0 ,0 , 0, 0 , 0 ,  0 ],[0 , 1 , 0 , 0 ,1 ,-3 ,1 , 0, -1 , 0 ,  0],[0 , 1 , 1 , 0 ,0 ,1 ,-4 , 1, 0 , -1 ,  0 ],[0 , 0 , 1 , 1 ,0 ,0 ,1 , -3, 0 , 0  , -1 ]);
            [  1    0    0   0  - 1   0    0    0    0    0    0  ]
            [                                                     ]
            [ - 1   1    0   0   0    0    0    0    0    0    0  ]
            [                                                     ]
            [  0   - 1   1   0   0    0    0    0    0    0    0  ]
            [                                                     ]
(%o1)       [  0    0   - 1  1   0    0    0    0    0    0    0  ]
            [                                                     ]
            [  0    1    0   0   1   - 3   1    0   - 1   0    0  ]
            [                                                     ]
            [  0    1    1   0   0    1   - 4   1    0   - 1   0  ]
            [                                                     ]
            [  0    0    1   1   0    0    1   - 3   0    0   - 1 ]
(%i2) nullspace(m);
                         [  0  ]  [  0  ]  [  0  ]  [ 1 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  0  ]  [  0  ]  [  0  ]  [ 1 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  0  ]  [  0  ]  [  0  ]  [ 1 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  0  ]  [  0  ]  [  0  ]  [ 1 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  0  ]  [  0  ]  [  0  ]  [ 1 ]
                         [     ]  [     ]  [     ]  [   ]
(%o2)               span([  0  ], [  0  ], [  1  ], [ 0 ])
                         [     ]  [     ]  [     ]  [   ]
                         [  0  ]  [  1  ]  [  0  ]  [ 0 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  1  ]  [  0  ]  [  0  ]  [ 0 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  0  ]  [  1  ]  [ - 3 ]  [ 2 ]
                         [     ]  [     ]  [     ]  [   ]
                         [  1  ]  [ - 4 ]  [  1  ]  [ 2 ]
                         [     ]  [     ]  [     ]  [   ]
                         [ - 3 ]  [  1  ]  [  0  ]  [ 2 ]
(%i3) 
[addcol,col,define,diff,do,eigenvectors,exp,ident,invert,matrix,nullity,nullspace,ratsimp] [addcol,col,define,diff,do,eigenvectors,exp,ident,matrix,nullity,nullspace] [addcol,define,diff,eigenvectors,exp,function,ident,integrate,invert,load,matrix,nullity,nullspace,psi,ratsimp] [addcol,define,eigenvectors,exp,ident,integrate,invert,matrix,nullity,nullspace,ratsimp] [addcol,ident,matrix,nullspace,transpose] [addrow,append,genmatrix,makelist,nullspace,part,product,sconcat,string,transpose] [apply,args,ceiling,col,do,length,mod,nullspace,print,row] [apply,args,ceiling,col,do,length,mod,nullspace,printf,row] [apply,args,ceiling,do,matrix,mod,nullspace,printf] [apply,args,matrix,nullspace] [args,matrix,nullspace] [array,linsolve,listarray,matrix,nullspace,print,random] [assume,matrix,nullspace] [ceiling,col,do,length,mod,nullspace,print,row] [charpoly,determinant,factor,ident,lu_factor,matrix,minor,nullspace,rank] [charpoly,eigenvectors,matrix,nullspace,rank] [col,define,do,eigenvectors,exp,ident,matrix,nullity,nullspace] [col,do,length,nullspace,print,row] [define,eigenvectors,exp,ident,matrix,nullity,nullspace] [determinant,expand,lambda,map,matrix,nullspace,subst] [determinant,expand,matrix,nullspace,subst] [determinant,factor,linsolve,matrix,nullspace] [determinant,ident,matrix,nullspace,rank] [echelon,matrix,nullspace] [eigenvectors,ident,matrix,nullity,nullspace] [expand,length,matrix,nullspace,rat,transpose] [expand,length,matrix,nullspace,transpose] [expand,matrix,nullspace,transpose] [linsolve,load,matrix,nullspace,numer,true] [linsolve,load,matrix,nullspace] [linsolve,matrix,nullspace,numer,true] [linsolve,matrix,nullspace] [matrix,mod,nullspace] [matrix,modulus,nullspace] [matrix,nullity,nullspace,rank,sqrt,transpose] [matrix,nullity,nullspace,rank,sqrt] [matrix,nullity,nullspace,rank] [matrix,nullspace,rank,sqrt,transpose] [matrix,nullspace,rank] [matrix,nullspace,sqrt,transpose] [matrix,nullspace,sqrt] [matrix,nullspace,transpose] [matrix,nullspace,triangularize] [matrix,nullspace] [nullspace]

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