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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

m:matrix([0,alpha,0,0...

determinant (m);

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determinant-diff-ev-hessian-solve

f(x,y):=4*x+6*y;

g(x,y):=x^2+y^2+2*x+4...

l(%lambda,x,y):=f(x,y...

Calculate

determinant-echelon-matrix-rank

v1:[1,0,2];

v2:[-2,1,1];

v3:[0,1,5];

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determinant-invert-matrix-permanent

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

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

c: a.b;

Calculate

determinant

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

determinant(M);

Calculate

determinant-invert

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

determinant(m);

invert (m);

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-echelon-gamma-lambda-matrix-rank-row

m:matrix([1,0,2],[0,0...

echelon(m);

rank(m);

Calculate

determinant-float-matrix

A: matrix ([7,0,-1,0,...

AC1: matrix ([240,0,-...

c1: determinant (AC1)...

Calculate

determinant-matrix

r1:[3,2,2];

...

r3:[1,1,1];

Calculate