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Related

random

x:[57.9, 58.1, 58.2, ...

xrand:random(3)/10;

x+xrand;

Calculate

random

random(36);

random(36);

Calculate

echelon-matrix-rank-row

v1:[1,2,3,4,5];

v2:[0,-1,1,2,3];

v3:[3,2,1,0,-1];

Calculate

echelon-matrix-rank

v1:[1,2,-1];

v2:[3,-1,0];

v3:[4,1,-1];

Calculate

random

[random (10), random(...

Calculate

lambda-numer-pi

k: 2.3;

w: 17.6;

freq: w/(2*%pi);

Calculate

genmatrix-lambda

genmatrix(lambda([i,j...

Calculate

lambda-sublist-subset

A:{1,2,3,4,5};

sublist([1,2,3,4,5],l...

subset(A,lambda([x], ...

Calculate

echelon-matrix

echelon(matrix([1,1,1...

Calculate

lambda-part-sublist

alist: [df_u[1,0],df_...

sublist(alist,lambda(...

Calculate

[echelon,genmatrix,lambda,random,row]

Run Example
(%i1)a:genmatrix(lambda([x,y], random(6)-random(6)),3,4);
                              [  2   - 3  3  0 ]
                              [                ]
(%o1)                         [ - 1  - 4  0  5 ]
                              [                ]
                              [ - 1  - 3  4  4 ]
(%i2) b:echelon(a);
                            [      3   3         ]
                            [ 1  - -   -     0   ]
                            [      2   2         ]
                            [                    ]
                            [           3     10 ]
(%o2)                       [ 0   1   - --  - -- ]
                            [           11    11 ]
                            [                    ]
                            [                 1  ]
                            [ 0   0    1    - -- ]
                            [                 47 ]
(%i3) b[2,3];
                                       3
(%o3)                                - --
                                       11
(%i4) matrix([0,0,0,0],-b[2,3] * list_matrix_entries(row(b,3)),[0,0,0,0]);
                              [ 0  0  0     0   ]
                              [                 ]
                              [       3      3  ]
(%o4)                         [ 0  0  --  - --- ]
                              [       11    517 ]
                              [                 ]
                              [ 0  0  0     0   ]
(%i5) 
Run Example
a:genmatrix(lambda([x,y], random(2)-random(2)),3,4);
                             [  0   - 1  - 1  0 ]
                             [                  ]
(%o1)                        [ - 1   0    0   1 ]
                             [                  ]
                             [  1    1    0   0 ]
(%i2) b:echelon(a);
                               [ 1  0  0  - 1 ]
                               [              ]
(%o2)                          [ 0  1  1   0  ]
                               [              ]
                               [ 0  0  1  - 1 ]
(%i3) c:b+matrix([0,0,0,0],-b[2,3] * list_matrix_entries(row(b,3)),[0,0,0,0]);
                               [ 1  0  0  - 1 ]
                               [              ]
(%o3)                          [ 0  1  0   1  ]
                               [              ]
                               [ 0  0  1  - 1 ]
(%i4) d:c+matrix(-c[1,2]*list_matrix_entries(row(c,2))+ -c[1,3]*list_matrix_entries(row(c,3)),[0,0,0,0],[0,0,0,0]);
                               [ 1  0  0  - 1 ]
                               [              ]
(%o4)                          [ 0  1  0   1  ]
                               [              ]
                               [ 0  0  1  - 1 ]
(%i5) 
Run Example
a:genmatrix(lambda([x,y], random(3)-random(3)),3,4);
                              [  2    0   0  0 ]
                              [                ]
(%o1)                         [ - 1  - 1  0  2 ]
                              [                ]
                              [ - 1   0   1  1 ]
(%i2) b:echelon(a);
                               [ 1  0  0   0  ]
                               [              ]
(%o2)                          [ 0  1  0  - 2 ]
                               [              ]
                               [ 0  0  1   1  ]
(%i3) c:b+matrix([0,0,0,0],-b[2,3] * list_matrix_entries(row(b,3)),[0,0,0,0]);
                               [ 1  0  0   0  ]
                               [              ]
(%o3)                          [ 0  1  0  - 2 ]
                               [              ]
                               [ 0  0  1   1  ]
(%i4) d:c+matrix(-c[1,2]*list_matrix_entries(row(c,2))+ -c[1,3]*list_matrix_entries(row(c,3)),[0,0,0,0],[0,0,0,0]);
                               [ 1  0  0   0  ]
                               [              ]
(%o4)                          [ 0  1  0  - 2 ]
                               [              ]
                               [ 0  0  1   1  ]
(%i5) 
[addcol,beta,coefmatrix,determinant,echelon,rank,row,transpose] [addcol,beta,coefmatrix,echelon,rank,row,transpose] [addrow,do,genmatrix,kill,linsolve,print,random] [addrow,genmatrix,linsolve_params,print,random,tex1,true] [addrow,genmatrix,linsolve_params,random,true] [beta,coefmatrix,echelon,rank,row,transpose] [beta,coefmatrix,echelon,rank,row] [binomial,block,delta,determinant,do,expand,genmatrix,hipow,kron_delta,lambda,length,makelist,part,return,sum] [binomial,block,delta,determinant,expand,genmatrix,kron_delta,lambda,makelist,subst,sum] [binomial,delta,determinant,genmatrix,kron_delta,lambda,minor] [block,genmatrix,if,print,random,return,while] [block,genmatrix,if,random,return,while] [block,genmatrix,if,random,return] [block,genmatrix,lambda,length,lmax,lmin,make_random_state,makelist,matrix,set_random_state,sqrt,sum,transpose,true] [block,genmatrix,lambda,length,lmax,lmin,makelist,matrix,random,sqrt,sum,transpose] [block,genmatrix,print,random,return] [block,genmatrix,random,return] [ceiling,col,do,endcons,float,genmatrix,kill,makelist,min,permanent,print,random,row,sort,sqrt,transpose] [ceiling,do,float,genmatrix,kill,makelist,ordergreatp,permanent,print,random,row,sort,sqrt,sum] [ceiling,do,float,genmatrix,kill,permanent,print,random,row,sqrt] [col,do,endcons,genmatrix,kill,print,random,row,sqrt,transpose] [col,genmatrix,min,numer,permanent,print,random,row,sort,sqrt,transpose] [col,genmatrix,min,numer,permanent,random,row,sort,sqrt,transpose] [determinant,echelon,matrix,rank,row] [determinant,genmatrix,invert,lambda,log,matrix,plot2d,plot3d,transpose] [do,first,genmatrix,kill,makelist,min,ordergreatp,permanent,permutations,print,random,rest,row,sort,sum] [do,genmatrix,kill,linsolve,print,random,tex1] [do,genmatrix,kill,linsolve,print,random] [do,genmatrix,kill,makelist,ordergreatp,permanent,print,random,row,sort,sum] [do,genmatrix,kill,makelist,print,random,row] [echelon,genmatrix,lambda,random,row] [echelon,genmatrix,lambda,random] [echelon,matrix,rank,row,transpose] [echelon,matrix,rank,row] [echelon,matrix,row,transpose] [echelon,matrix,row] [false,genmatrix,part,random,simp] [genmatrix,ident,print,random] [genmatrix,if,lambda] [genmatrix,invert,lambda,random] [genmatrix,lambda,load] [genmatrix,lambda,random,string] [genmatrix,lambda,random,sum] [genmatrix,lambda,random] [genmatrix,lambda] [genmatrix,makelist,random,row,sort,sqrt] [genmatrix,numer,permanent,random,row,sqrt] [genmatrix,permanent,random,row,sqrt] [genmatrix,permanent,random] [genmatrix,random]

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