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The Maxima on-line user's manual

Algebra Calculator

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Rank

Function: rank (<M>) Computes the rank of the matrix <M>. That is, the order of the largest non-singular subdeterminant of <M>.

m:matrix([1,2,3],[4,7,9]);
m2:submatrix(m,3);
m3:submatrix(1,m);
transpose(m);
invert(m2);
determinant(m2);
m2.invert(m2);
ident(2);
rank(m);
eigenvalues(m2);
eigenvectors(m2);
m2.invert(m2)-ident(2)

<rank> may return the wrong answer if it cannot determine that a matrix element that is equivalent to zero is indeed so.

There are also some inexact matches for rank. Try ?? rank to see them.

(%o1)                                true
(%i2) 

Related Examples

rank

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

Calculate

rank

eq1: a1 - 2*a2 + a3 = 0;

eq2: a4 - 2*a5 + a6 = 0;

eq3: a7 - 2*a8 + a9 = 0;

Calculate

rank

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

Calculate

rank

V1:[1,0,2];

V2:[-2,1,1];

V3:[0,1,5];

Calculate

rank

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

Calculate

rank

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

Calculate

rank

eq1: a1 - 2*a2 + a3 = 0;

eq2: a4 - 2*a5 + a6 = 0;

eq3: a7 - 2*a8 + a9 = 0;

Calculate

rank

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

Calculate