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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.

A:matrix([5*s+8,4],[4,12]);
dA:determinant(A);
B:matrix([5*s+8,4],[(24/S)+15,24/S]);

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([0,-a,-b,c]...

permanent(a);

determinant(a);

Calculate

determinant-matrix-permanent

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

permanent(a);

determinant(a);

Calculate

determinant-eigenvectors-matrix

m:matrix([1,2,-1],[1,...

determinant(m);

m.m;

Calculate

determinant-matrix-permanent

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

permanent(a);

determinant(a);

Calculate

determinant-matrix

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

b: matrix([5,4,3],[1,...

c: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-matrix

v1:[1,1,0,1];

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

v3:[1,-1,1,1];

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-matrix

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

determinant(A);

k:2;

Calculate

determinant-matrix-permanent

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

permanent(a);

determinant(a);

Calculate