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matrix

sina(a) := sin(a);

cosa(a) := cos(a);

matrix([1, 0, 0], [0,...

Calculate

matrix

F:matrix([a,0],[0,y]);

S:matrix([sxx,sxy],[s...

(F.S).F;

Calculate

matrix

A: matrix([840*a+5040...

Calculate

matrix

M:matrix([0.6,0.35,0....

Mn:M^^20;

Calculate

matrix

r1:[3,2,2,34];

r2:[2,3,2,32];

r3:[1,1,1,14];

Calculate

matrix

A1:matrix([1,2,3]);

A2:matrix([5,6,7]);

A1.A2;

Calculate

matrix-transpose

MATRIX1 : matrix([dx,...

MATRIX2 : matrix([C11...

(transpose(MATRIX1).(...

Calculate

matrix

G:matrix([a,b,b,0,0,0...

Calculate

matrix-modulus

modulus:5;

a:matrix([1,1,2,3],[0...

Calculate

matrix-rank

A: matrix([2,3,-1,4],...

rank(A);

Calculate

matrix

Run Example
(%i1)a:exp(%i*2*%pi/3);
                                sqrt(3) %i   1
(%o1)                           ---------- - -
                                    2        2
(%i2) F:1/3*matrix([1,1,1],[1,a,a^2],[1,a^2,a]);
                  [ 1          1                  1         ]
                  [ -          -                  -         ]
                  [ 3          3                  3         ]
                  [                                         ]
                  [     sqrt(3) %i   1     sqrt(3) %i   1 2 ]
                  [     ---------- - -    (---------- - -)  ]
                  [ 1       2        2         2        2   ]
(%o2)             [ -   --------------    ----------------- ]
                  [ 3         3                   3         ]
                  [                                         ]
                  [     sqrt(3) %i   1 2   sqrt(3) %i   1   ]
                  [    (---------- - -)    ---------- - -   ]
                  [ 1       2        2         2        2   ]
                  [ -  -----------------   --------------   ]
                  [ 3          3                 3          ]
(%i3) M:((%i*Xc1*(RL+%i*Xc1))/(%i*Xc+RL+%i*XL));
                             %i Xc1 (RL + %i Xc1)
(%o3)                        --------------------
                              %i XL + RL + %i Xc
(%i4) 
Run Example
A: matrix([16165,-5444,-5444 ],[-5444,16165,-5444],[-5444,-5444,17815]);
                          [ 16165   - 5444  - 5444 ]
                          [                        ]
(%o1)                     [ - 5444  16165   - 5444 ]
                          [                        ]
                          [ - 5444  - 5444  17815  ]
(%i2) eigenvalues(A);
(%o2) [[14268 - sqrt(71855481), sqrt(71855481) + 14268, 21609], [1, 1, 1]]
(%i3) 
Run Example
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) 
[abs,acos,asin,atan2,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [abs,acos,asin,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [abs,floor,fullmap,matrix,mod,numer,transpose] [abs,floor,matrix,mod,numer,simp,transpose] [acos,asin,atan,expand,float,linsolve,matrix,pi,rhs,sqrt,time] [acos,asin,atan2,expand,float,linsolve,matrix,pi,rhs,sqrt] [acos,float,matrix,sqrt] [addcol,addrow,diff,ev,genmatrix,invert,kill,length,lmax,lmin,load,matrix,plot2d,romberg,sqrt,submatrix] [addrow,ev,log,matrix] [adjoint,determinant,invert,matrix] [adjoint,determinant,matrix] [allroots,at,charpoly,float,lambda,matrix,solve] [args,divisors,lreduce,matrix,subst] [charpoly,matrix] [christof,depends,diag_matrix,gcd,load,matrix,ratfac,riemann,scurvature,sin] [cos,determinant,matrix,sin] [cos,gramschmidt,integrate,load,map,matrix,sin] [cos,invert,matrix,sin] [cos,matrix,phi,sin] [cos,matrix,sin,transpose] [cos,matrix,sin] [define,load,matrix] [determinant,diff,expand,matrix] [determinant,divide,expand,ident,matrix,mod] [determinant,echelon,matrix,rank,row] [determinant,echelon,matrix,rank] [determinant,expand,matrix] [determinant,factor,matrix] [determinant,invert,matrix,transpose] [determinant,invert,matrix] [determinant,jacobian,matrix,solve] [determinant,linsolve,matrix] [determinant,matrix,permanent] [determinant,matrix,rank] [determinant,matrix,solve] [determinant,matrix,transpose] [determinant,matrix] [diff,hessian,matrix] [diff,matrix,transpose] [diff,matrix] [do,matrix] [echelon,linsolve,matrix,rank] [echelon,matrix,rank,row] [echelon,matrix,rank,transpose] [echelon,matrix,rank] [echelon,matrix] [eigenvalues,eigenvectors,invert,matrix] [eigenvalues,eigenvectors,matrix] [eigenvalues,invert,matrix] [eigenvalues,matrix]

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