This library contains some useful classes and functions for dealing with linear algebra in JavaScript.

The library was orginal written in **TypeScript** and then compiles into pure JavaScript.

- class Vector : This class represents a vector of arbitray size and operations on it.

- constructor Vector(N) : creates a zero vector of size N

- constructor Vector(N, components) : creates a vector of size N with the given components.

- createUnitBasis(pos) : converts this vector in a unit basis vector and returns it.

- component(pos) : returns the specified component (indexing at 0)

- changeComponent(pos, value) : change the specified component.

- toString() : returns a string representation of this vector.

- size() : returns the size of the vector. (not the eulidean length!)

- eulideanLength() : computes the eulidean length of this vector.

- add(other) : vector addition, returns the rersult.

- sub(other) : vector subtraction, returns the rersult.

- dot(other) : computes the dot-product and returns it.

- scalar(s) : scalar (s) multiplication. returns the result.

- norm() : normalizes this vector and returns it.

- equal(other) : returns true if the vectors are equal, otherwise false.

- function unitBasisVector(N,pos) : returns a unit basis vector of size N with a One on position 'pos'

- function randomVectorInt(N,a,b) : returns a random vector with integer components (between 'a' and 'b') of size N.

- function randomVectorFloat(N,a,b) : returns a random vector with floating point components (between 'a' and 'b') of size N.

- class Matrix : This class represents a matrix of arbitrary size and operations on it.

- constructor(rows, cols) : creates a zero matrix of dimension rows x cols.

- constructor(rows, cols, components) : creates a matrix with fix numbers of dimension rows x cols.

- component(x,y) : returns the specified component.

- changeComponent(x,y,value) : changes the specified component with the new value 'value'.

- toString() : returns a string representation of this matrix.

- dimension() : returns the dimension of this matrix as number arras [rows,cols].

- add(other) : returns the result of the matrix addition.

- equal(other) : returns true if the matrices are equal, otherwise false.

- scalar(c) : returns the result of the matrix-scalar multiplication.

The module is well documented in its source code. Look in the TypeScript file ```la_lib.ts```.

You will find the library in the **src** directory its called ```la_lib.js```. You simply need to

include this library in your project **(you don't install anything)**. After that:

var x = LinearAlgebra.Vector(...);

```

The namespace LinearAlgebra contains useful classes and functions for dealing with linear algebra under JavaScript.

Some examples:

var x = new LinearAlgebra.Vector(5, [1, 2, 3, 4, 5]);

var y = new LinearAlgebra.Vector(5, [1, 2, 3, 4, 5]);

console.log(x.size()); // ==> 5

console.log(x.component(2)); // ==> 3

console.log(x.toString()); // ==> (1,2,3,4,5)

console.log(x.add(y).toString()); // ==> (2,3,6,8,10)

console.log(x.dot(y)); // ==> 55

console.log(x.scalar(5).toString()); // ==> (5,10,15,20,25)

console.log(LinearAlgebra.unitBasisVector(3, 0).toString()); // ==> (1,0,0)

console.log(LinearAlgebra.randomVectorInt(3, 0, 5).toString());

console.log(LinearAlgebra.randomVectorFloat(3, 0, 5).toString());

```

Go in the directory of the project and type in:

```npm install```

```npm test```

The test-suite use the JavaScript test-framework **mocha**.

You can contribute to this project. Feel free and pull request some new features or documention.

**TODO:** Global functions for special matrices.

**TODO:** Documention of the classes and functions.