###matrix-ops.js basic matrix operations library 'WIP'

###Use var matrix = require('matrix-ops');

###matrix.create ( ) //generates a random 3x3 matrix if nothing is passed in. var m = matrix.create();

###matrix.identity ( m )

returns the identity matrix(1's along the diagonal) of the passed in matrix.

var m = matrix.create();
var identity = matrix.identity(m);

--

###matrix.scalar ( s , m )

multiplies all elements in the passed in matrix by the passed in scalar.

var m = matrix.create();
m = matrix.scalar(5, m);

###matrix.trace ( m )

returns the sum of the diagonal of the passed in matrix.

var m = matrix.create();
var tr = matrix.trace(m);

###matrix.transpose ( m )

returns the passed in matrix with it's rows and columns swapped.

var m = matrix.create();
m = matrix.transpose(m);

###matrix.product ( m1, m2 )

returns a matrix that is the product of the passed in matrices.

var matrix1 = matrix.create();
var matrix2 = matrix.create();
var matrixProduct = matrix.product(matrix1, matrix2);

###matrix.dotProduct ( v1, v2 )

returns the dot product of two passed in vectors. works if v1.length === v2.length.

var vector1 = [1,2,3];
var vector2 = [4,5,6];
var dot = matrix.dotProduct(vector1, vector2); // should be 29

###matrix.reducedRowEchelonForm ( m )

reduces an augmented matrix, returns the reduced matrix.

var m = matrix.create([
	[0,1,2,3],
	[3,4,5,6],
	[6,7,8,9]
]);

var reduced = matrix.reducedRowEchelonForm(m);

###matrix.upperTriangular ( m )

returns the passed in matrix with all values below the diagonal being zero.

var m = matrix.create();
m = matrix.upperTriangular(m);

###matrix.lowerTriangular ( )

returns the passed in matrix with all values above the diagonal being zero.

var m = matrix.create();
m = matrix.lowerTriangular(m);

###matrix.addRowToMatrix ( m , r )

adds row vector 'r' to the bottom of matrix 'm'.

var m = matrix.create();
m = matrix.addRowToMatrix(m, [1,2,3]);

###matrix.addColumnToMatrix ( m , c )

adds column vector 'c' to the rightmost of matrix 'm'.

var m = matrix.create();
m = matrix.addColumnToMatrix(m, [1,2,3]);

###matrix.rowVector ( m , r )

returns the specified row number 'r' from matrix 'm'.

var m = matrix.create();
var row = matrix.rowVector(m, 0); // returns first row

###matrix.columnVector ( m , c )

returns the specified column number 'c' from matrix 'm'.

var m = matrix.create();
var row = matrix.columnVector(m, 0); // returns first column

###matrix.add ( m1 , m2 )

returns the sum of matrices m1 and m2. must have same number of rows and columns.

var matrix1 = matrix.create();
var matrix2 = matrix.create();
var row = matrix.add(matrix1, matrix2);

###matrix.subtract ( m1 , m2 )

returns the difference of matrices m1 and m2. must have same number of rows and columns.

var matrix1 = matrix.create();
var matrix2 = matrix.create();
var row = matrix.subtract(matrix1, matrix2);

###matrix.print ( m )

prints out the matrix in an ordered way.

alert(matrix.print(m));

###matrix.equal ( m1 , m2 )

returns true if each element in m1 is the same in m2.

var matrix1 = matrix.create();
var matrix2 = matrix.create();

if (matrix.equal(matrix1, matrix2)) {
	//...
}