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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-solve

a:2*x+y-2*z=40;

b:-x+y+z=10;

c:-3*x+2*y-2*z=20;

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-permanent

A:matrix([2,1,1,1],[1...

B: permanent(A);

D: determinant(A);

Calculate

determinant-matrix-ratsimp

m1:matrix([1,k_12],[k...

determinant(m1);

ratsimp(determinant(m...

Calculate

determinant-invert-matrix

a:matrix([1,1],[1,0]);

b:matrix([e,f],[g,h]);

a . b = b;

Calculate

determinant-matrix

a:matrix([a,a],[c,d]);

b:matrix([e,a],[a,h]);

a.b;

Calculate

determinant-matrix-rank

determinant(matrix([1...

rank(matrix([1,2,0],[...

Calculate

determinant-eigenvalues-ident-invert-matrix-rank-submatrix-transpose

m:matrix([1,2,3],[4,7...

m2:submatrix(m,3);

m3:submatrix(1,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