Metadata-Version: 2.1
Name: python-la
Version: 0.95.6
Summary: Python linear algebra liabrary
Home-page: UNKNOWN
Author: danielnachumdev (Daniel Nachum)
Author-email: <danielnachumdev@gmail.com>
License: UNKNOWN
Keywords: python,linear algebra,vector,matrix,field,vector field,span,linear maps,bilinear form,inner product,linear transformation
Platform: UNKNOWN
Classifier: Intended Audience :: Developers
Classifier: Programming Language :: Python :: 3
Classifier: Operating System :: Unix
Classifier: Operating System :: MacOS :: MacOS X
Classifier: Operating System :: Microsoft :: Windows
Description-Content-Type: text/markdown
License-File: LICENSE


# python-la : Python linear algebra
## introduction
The aim of this project is to implement programatically all of the mathematical operations you can in linear algebra, and more so - to implement themt in such a way that it will be written programmatically as close to mathematically as possible

## How to install
```pip install python-la```
## Examples
```python
>> from python_la import Matrix, Span, Vector, PolynomialSimple, LinearMap, RealField, VectorSpace

>> Matrix([[1,2],[3,4]]).gaussian_elimination())
---------
| 1 | 0 |
---------
| 0 | 1 |
---------

>> Matrix([[1, 2, 3], [4, 5, 6], [7, 8, 9]]).characteristic_polynomial
X^3 - 15X^2 - 18X

>> Matrix([[1, 0, 1],[0, 1, 1]]).kernel
[-1, -1, 1]

>> v1, v2 = Vector([3, 4]), Vector([4, 5])
>> Span([v1,v2]).toOrthonormal()
[0.6, 0.8]
[0.8, -0.6]

>> R2 = RealField(2)
>> src_field, dst_field = R2, R2
>> lm = LinearMap(src_field, dst_field, lambda vector, result_field: Vector([field.zero, vector[0]], result_field))
>> x_squared = PolynomialSimple.fromString("x^2")
>> plus_1 = PolynomialSimple.fromString("x+1")
>> v = VectorSpace(R2).random()
>> P = plus_1(x_squared)
>> P
X^2 + 1
>> P(lt)(v) == v
True
```
## Example


