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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>.

a: matrix ([9,2,10], [-3,4,0], [1,3,0], [4,0,-7], [0,1,0]);
nullity(a);
rank(a);

<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

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

rank(A);

Calculate

rank

A: matrix [ [2, 3, -1...

rank(A) ;

Calculate

rank

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

rank(A);

Calculate

rank

A: matrix [ [3, 2, 1]...

rank(A);

Calculate

rank

A: matrix [[1,0],[2,3]];

B: matrix [[-1,2],[0,...

rank (A);

Calculate

rank

A: matrix [ [3, 2, 1]...

rank(A);

Calculate

rank

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

Calculate

rank

A: matrix[[-2,4,1],[1...

rank(A);

Calculate

rank

A: matrix [[4,1,-6],[...

rank(A);

Calculate

rank

A: matrix [[1,0],[2,3]];

rank (A);

Calculate