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### The Maxima on-line user's manual

Algebra Calculator

#### Rank

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

<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

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

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

eq3: a7 - 2*a8 + a9 = 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

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

Calculate

V1:[1,0,2];

V2:[-2,1,1];

V3:[0,1,5];

Calculate

? rank;

Calculate

rank;

Calculate

##### rank

rank([[1,2],[3,4]]);

Calculate

##### rank

rank([[1,1],[1,0]]);

Calculate

##### rank

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

Calculate