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determinant-equal-fullratsimp-is-matrix-solve-sqrt-transpose

m: matrix([5/4*k-w*w*...

is(equal(transpose(m)...

d: fullratsimp(determ...

Calculate

determinant-matrix-permanent

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

b: matrix([0,-1,-1,-1...

permanent(a);

Calculate

determinant-matrix

M:matrix([1,2,3],[4,5...

d:determinant(M);

Calculate

determinant-matrix-simp-solve-subst

i:%i;

A:matrix([-i*s+n^2,-f...

x:determinant(A);

Calculate

determinant-diff-expand-matrix

f(x,y,z):=(x^3*y+y^3*...

xx:diff(diff(f(x,y,z)...

xy:diff(diff(f(x,y,z)...

Calculate

determinant-matrix

v1:[1,1,1];

v2:[1,1,0];

v3:[x,y,z];

Calculate

determinant-diff-expand-matrix

f(x,y,z):=(x^3*y+y^3*...

xx:diff(diff(f(x,y,z)...

xy:diff(diff(f(x,y,z)...

Calculate

determinant-matrix-permanent

a: matrix([1,2,3,4],[...

m1: matrix([1,2,3,-4]...

m2: matrix([1,2,3,-4]...

Calculate

determinant-matrix

a:matrix([ -1, 3, 0, ...

determinant(a);

Calculate

determinant

Run Example
(%i1)factor(determinant(hessian(x*x/(v*(c-w*v)^a),[w,v])));
                                                      4
                       2 a (a + 1) (a v w + v w - c) x
(%o1)                  --------------------------------
                           2          2 a          3
                          v  (c - v w)    (v w - c)
(%i2) 
Run Example
m:matrix([cos(x),0,-sin(x)],[0,1,0],[cos(x),0,sin(x)]);
                            [ cos(x)  0  - sin(x) ]
                            [                     ]
(%o1)                       [   0     1     0     ]
                            [                     ]
                            [ cos(x)  0   sin(x)  ]
(%i2) determinant(m);
(%o2)                           2 cos(x) sin(x)
(%i3) 
Run Example
A:matrix([5*s+8,4],[4,12]);
                                [ 5 s + 8  4  ]
(%o1)                           [             ]
                                [    4     12 ]
(%i2) dA:determinant(A);
(%o2)                          12 (5 s + 8) - 16
(%i3) B:matrix([5*s+8,4],[(24/S)+15,24/S]);
                                [ 5 s + 8  4  ]
                                [             ]
(%o3)                           [ 24       24 ]
                                [ -- + 15  -- ]
                                [ S        S  ]
(%i4) 
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