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The Maxima on-line user's manual

Algebra Calculator

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Determinant

Function: determinant (<M>) Computes the determinant of <M> by a method similar to Gaussian elimination.

m:matrix([1,2,3],[4,7,9]);
m2:submatrix(m,3);
m3:submatrix(1,m);
transpose(m);
invert(m2);
determinant(m2);
m2.invert(m2);
ident(2);
rank(m);
eigenvalues(m2);
eigenvectors(m2);
m2.invert(m2)-ident(2)

The form of the result depends upon the setting of the switch ratmx.

There is a special routine for computing sparse determinants which is called when the switches ratmx and sparse are both true.

(%o1)                                true
(%i2) 

Related Examples

determinant-matrix-permanent

A:matrix([1,1,1,1,1],...

B: permanent(A);

D: determinant(A);

Calculate

determinant-matrix-permanent

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

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

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

Calculate

determinant-invert

M : matrix[[1,0],[3,5]];

determinant(M);

invert(M);

Calculate

determinant-diff-hessian-matrix

f(x,y):=(a*x^2 + b*x*y);

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

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

Calculate

determinant-matrix

a:matrix([9, 3, 5], [...

determinant(a);

Calculate

determinant-invert

M:matrix[[8,6,5,2],[3...

determinant(M);

invert(M);

Calculate

determinant-matrix-transpose

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

A:transpose(B);

determinant(A);

Calculate

determinant-float-matrix

r1:[15,-3,1];

r2:[-3,18,-6];

r3:[-4,-1,12];

Calculate

determinant-matrix

determinant(matrix([9...

Calculate

determinant-matrix-permanent

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

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

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

Calculate