# linalg

A Simple Linear Algebra Package.

This package is intended to be a portable, easy to use linear algebra package. The library does not have any dependencies outside of Dart itself, thus making it portable and easy to integrate. Internally all numbers are stored as Dart Doubles ( 64 bit as specified in the IEEE 754 standard ).

Our goal is to keep the code readable, documented and maintainable.

## Short Example

Just a quick example on how to do matrix multiplication.

``````final Matrix a = Matrix([[1, 2], [3, 4]]);
final Vector b = Vector.column([2, 3]);
final Matrix e = Matrix([[8], [18]]);
Matrix result = a * b;
print(result);
print(result == e);
``````

This prints

``````[[8.0], [18.0]]
true
``````

## Complete Example

A more extensive example with various matrix operations. See the Matrix API and Vector API for the full details.

``````import 'package:linalg/linalg.dart';

void example() {
// *****************************
// Lets solve a linear equation.
// *****************************
//
// A * B = E
//
// We have B and E, we have to find A.
//
// A * B * B' = E * B'
//
// Were B' = inverse of B.
//
// A * I = E * B'
//
// Where I = identity matrix
//
// A = E * B'
final Matrix B = Matrix([[2, 0], [1, 2]]);
final Matrix E = Matrix([[4, 4], [10, 8]]);

Matrix Bi = B.inverse();
Matrix A_calc = E * Bi;

final Matrix A = Matrix([[1, 2], [3, 4]]);
print("The calculated A_calc = \$A_calc, the expected A is \$A, they are \${A_calc==A?'':'not'} the same.");
// Expected: The calculated A = [[1.0, 2.0], [3.0, 4.0]], the expected A is [[1.0, 2.0], [3.0, 4.0]], they are  the same.

// *****************************
// Lets do some more matrix math
// *****************************
//
// Next let multiply Matrix A by 3.
Matrix Am = A * 3.0;
print(Am);
// Expecting: [[3.0, 6.0], [9.0, 12.0]]

// Now add matrix B to A
Matrix AmPlusB = Am + B;
print(AmPlusB);
// Expecting: [[5.0, 6.0], [10.0, 14.0]]

// What is the determinant of the A matrix?
print("The determinant of A = \${A.det()}");
// Expecting The determinant of A = -2.0
}
``````

## Installation

``````dependencies:
linalg: ^0.3.0
``````

``````import 'package:linalg/linalg.dart';
``````