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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-permanent

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

permanent(a);

determinant(a);

Calculate

determinant-expand-matrix

m: expand(determinant...

Calculate

determinant-matrix-transpose

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

b:transpose(matrix( ...

determinant(A);

Calculate

determinant-invert

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

determinant(A);

invert(A);

Calculate

determinant-jacobian

u:2*x*y;

v:x^2-y^2;

j:jacobian([u,v],[x,y]);

Calculate

determinant-diff-matrix-rank-solve-sqrt

diff(x^2+sqrt(x),x,2);

x: 32/7;

q: matrix([1,2,3],[2,...

Calculate

determinant-matrix-permanent

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

permanent(a);

determinant(a);

Calculate

determinant-matrix

eq1:x+y+t=0;

eq2:x+2*y-z+t=0;

eq3:x-y+z+t=0;

Calculate

determinant-echelon-matrix-rank-row

v1:[1,2,3,4,5];

v2:[0,-1,1,2,3];

v3:[3,2,1,0,-1];

Calculate