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

Algebra Calculator

#### Get_lu_factors

Function: get_lu_factors (<x>) When `<x> = lu_factor (<A>)`, then `get_lu_factors` returns a list of the form `[P, L, U]`, where <P> is a permutation matrix, <L> is lower triangular with ones on the diagonal, and <U> is upper triangular, and `<A> = <P> <L> <U>`.

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

### Related Examples

##### get_lu_factors-matrix-rat

m: matrix([e1,2*e2,e3...

rat(get_lu_factors(lu...

Calculate

##### get_lu_factors-matrix-rat

m: matrix([2*e1,e2,e3...

rat(get_lu_factors(lu...

Calculate

##### get_lu_factors-matrix-rat

m1: matrix([e1,2*e2,e...

m2: matrix([2*e1,e2,e...

rat(get_lu_factors(lu...

Calculate

##### get_lu_factors-matrix

m: matrix([e1,e2],[1,...

get_lu_factors(lu_fac...

Calculate

##### get_lu_factors-matrix

m: matrix([e1,2*e2,e3...

get_lu_factors(lu_fac...

Calculate

##### get_lu_factors-matrix-rat

m1: matrix([e1,2*e2,e...

m2: matrix([2*e1,e2,e...

rat(get_lu_factors(lu...

Calculate

##### get_lu_factors-matrix-rat

m: matrix([2*e1,e2,e3...

rat(get_lu_factors(lu...

Calculate

##### get_lu_factors-matrix

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

get_lu_factors(lu_fac...

Calculate

##### get_lu_factors-matrix

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

get_lu_factors(lu_fac...

Calculate

##### get_lu_factors-matrix-rat

m: matrix([e1,2*e2,e3...

rat(get_lu_factors(lu...

Calculate