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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.

load("vect");
m:matrix([1, 0, 0], [0, sin(t), cos(t)], [0, cos(t), sin(t)]);
n:matrix([1, 0, 0], [0, sin(t), -cos(t)], [0, -cos(t), sin(t)]);
determinant(m);
a:matrix([0, 10, 25]);
m.a;

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

a:matrix([%i,1],[1,2-...

determinant(a);

Calculate

determinant-matrix

c:matrix([cg,-sg,0],[...

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

b:matrix([cb,0,sb],[0...

Calculate

determinant-matrix-radcan

A:matrix([-7/3-l,2/3]...

determinant(A);

radcan(%);

Calculate

determinant

M: matrix[[2,3,-1],[-...

determinant(M);

Calculate

determinant-matrix

a:matrix([8,3,2,-5],[...

determinant(a);

Calculate

determinant-matrix

a:matrix([1,2],[3,4]);

determinant(a);

inv(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-permanent

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

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

permanent(a);

Calculate

determinant-invert-matrix-solve

m:matrix([8,6,5,2],[3...

determinant(m);

invert(m);

Calculate

determinant-echelon-matrix-rank-row

v1:[1,2,-1];

v2:[3,-1,0];

v3:[4,1,-1];

Calculate