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

Algebra Calculator

#### Hilbert_matrix

Function: hilbert_matrix (<n>) Return the <n> by <n> Hilbert matrix. When <n> isnt a positive integer, signal an error.

```(%o1)                                true
(%i2) ```

### Related Examples

##### matrix

A:matrix([7,5],[-6,-4]);

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

A^^2;

Calculate

##### matrix-transpose

M: matrix([m3,m2,m1,0...

W: matrix([w1,0,0,0,0...

MT: transpose(M);

Calculate

##### matrix

m:matrix([5,2,-1],[9,...

Calculate

##### matrix-permanent

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

b: matrix([1,1,1],[0,...

permanent(a);

Calculate

r1:[2,4,6,18];

r2:[4,5,6,24];

r3:[3,1,-2,4];

Calculate

r1:[3,2,2,34];

r2:[2,3,2,32];

r3:[1,1,1,14];

Calculate

##### matrix

T1:matrix([1,0,0,0],[...

T2:matrix([0,-1,0,0],...

T3:matrix([1,0,0,l3],...

Calculate

##### matrix

A: matrix([1,2],[3,4]);

A*A;

Calculate

##### matrix-transpose

A:matrix([120,0,-60],...

B:transpose([400,-200...

res:a*b;

Calculate

##### matrix

matrix([2,3],[4,5])*m...

Calculate