Package: matrix_vector
# matrix_vectorA python package for matrices and vectors operations.The package implements two classes - Vector and Matrix.class Vector:# Vector#__init__(self, *args)Initialize a Vector object.Example:>> Vector(1, 2, 3)=> <matrix_vector.vector.Vector object>Arguments:N numbers# Vector#size(self)Returns the size of the vector(number of coordinates).Example:>> Vector(1, 2, 3).size=> 3Arguments:No arguments# Vector#__add__(self, other)Adds two vectors or adds a number to the elements of vector. Returns a new object.Example:>> Vector(1, 2, 3) + Vector(4, 5, 6)=> Vector(5, 7, 9)Example:>> Vector(1, 2, 3) + 3=> Vector(4, 5, 6)Arguments:vector : (Vector)ornumber : (Numeric)# Vector#__sub__(self, other)Substracts two vectors or substracts a number from the elements of the vector. Returns a new object.Example:>> Vector(1, 2, 3) - Vector(4, 5, 6)=> Vector(-3, -3, -3)Example:>> Vector(1, 2, 3) - 3=> Vector(-2, -1, 0)Arguments:vector : (Vector)ornumber : (Numeric)# Vector#__iadd__(self, other)Adds two vectors or adds a number to the elements of the vector. Changes the object.Example:>> Vector(1, 2, 3) += Vector(4, 5, 6)=> Vector(5, 7, 9)Example:>> Vector(1, 2, 3) += 3=> Vector(4, 5, 6)Arguments:vector : (Vector)ornumber : (Numeric)# Vector#__isub__(self, other)Substracts two vectors or substracts a number from the elements of the vector. Changes the object.Example:>> Vector(1, 2, 3) -= Vector(4, 5, 6)=> Vector(-3, -3, -3)Example:>> Vector(1, 2, 3) -= 3=> Vector(-2, -1, 0)Arguments:vector : (Vector)ornumber : (Numeric)# Vector#__getitem__(self, key)Access elements of the vector with [] operatorExample:>> Vector(1, 2, 3)[2]=> 3Arguments:number : (int)# Vector#__mul__(self, other)Depending on the argument either multiplies a number with the elements of the vector or finds the scalar product of two vectors.Example:>> Vector(1, 2, 3) * 2=> Vector(2, 4, 6)Example(scalar product):>> Vector(1, 2, 3) * Vector(2, 2, 2)=> 12Arguments:number : (Numeric)orvector : (Vector)# Vector#__imul__(self, other)Multiplies a number with the elements of the vector changing the object.Example:>> Vector(1, 2, 3) * 2=> Vector(2, 4, 6)Arguments:number : (Numeric)# Vector#__xor__(self, other)Returns the cross product of two 3-dimension vectors. Returns new object.Example:>> Vector(1, 2, 3) ^ Vector(4, 5, 6)=> Vector(-3, 6, -3)Arguments:vector : (Vector)# Vector#__ixor__(self, other)Returns the scalar product of two 3-dimension vectors. Changes the object.Example:>> Vector(1, 2, 3) ^ Vector(4, 5, 6)=> Vector(-3, 6, -3)Arguments:vector : (Vector)# Vector#__truediv__(self, other)Divides the elements of the vector by a nubmer. Returns new object.Example:>> Vector(3, 9, 6) / 3=> Vector(1, 3, 2)Arguments:number : (Numeric)# Vector#__itruediv__(self, other)Divides the elements of the vector by a nubmer. Changes the object.Example:>> Vector(3, 9, 6) / 3=> Vector(1, 3, 2)Arguments:number : (Numeric)# Vector#length(self)Returns the length of the vector.Example:>> Vector(1, 2, 3).length=> 3.7416Arguments:No arguments# Vector#normalized(self)Returns the normalized vector of the vector.Example:>> Vector(1, 2, 3).normalized()=> Vector(0.2673, 0.5345, 0.8018)Arguments:No arguments# Vector#normalize(self)Normalizes the vector. Changes the object.Example:>> Vector(1, 2, 3).normalize()=> Vector(0.2673, 0.5345, 0.8018)Arguments:No arguments# Vector#round(self, number):Rounds the coordinates of the vector. Changes the object.Example:>> Vector(1.345, 2.438, 3.535).round(2)=> Vector(1.34, 2.44, 3.53)Arguments:number : (int)class Matrix:# Matrix#__init__(self, *rows)Initialize Matrix object.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])=> <matrix_vector.matrix.Matrix object>Example:>> Matrix(Vector(1, 2, 3), Vector(4, 5, 6), Vector(7, 8, 9))=> <matrix_vector.matrix.Matrix object>Arguments:N sequences or N vectors of the same size# Matrix#rows(self)Returns the number of rows of the matrix.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).rows()=> 3Arguments:No arguments# Matrix#colums(self)Returns the number of colums of the matrix.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).colums()=> 3Arguments:No arguments# Matrix#get_colum(self, number)Returns the n-th colum of the matrix as an object of class Vector.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).get_colum(1)=> Vector(2, 5, 8)Arguments:number : (int)# Matrix#get_row(self, number)Returns the n-th row of the matrix as an object of class Vector.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).get_row(1)=> Vector(4, 5, 6)Arguments:number : (int)# Matrix#is_same_dimension(self, matrix)Boolean method checkig if two matrices have the same dimensions.Example:>> Matrix([1, 2], [4, 5]).is_same_dimension(Matrix([3, 2], [6, 7]))=> TrueArguments:matrix : (Matrix)# Matrix#__add__(self, other)Depending on the argument either adds a number to the elements of the matrix or adds two matrices. Returns a new object.Example(number):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) + 2=> Matrix([3, 4, 5], [6, 7, 8], [9, 10, 11])Example(matrix):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) + Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])=> Matrix([2, 4, 6], [8, 10, 12], [14, 16, 18])Arguments:number : (Numeric)ormatrix : (Matrix)# Matrix#__iadd__(self, other)Depending on the argument either adds a number to the elements of the matrix or adds two matrices. Changes the object.Example(number):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) + 2=> Matrix([3, 4, 5], [6, 7, 8], [9, 10, 11])Example(matrix):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) + Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])=> Matrix([2, 4, 6], [8, 10, 12], [14, 16, 18])Arguments:number : (Numeric)ormatrix : (Matrix)# Matrix#__sub__(self, other)Depending on the argument either substracts a number from the elements of the matrix or substracts two matrices. Returns a new object.Example(number):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) - 2=> Matrix([-1, 0, 1], [2, 3, 4], [5, 6, 7])Example(matrix):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) - Matrix([1, 1, 3], [2, 5, 7], [2, 3, 4])=> Matrix([0, 1, 0], [2, 0, -1], [5, 5, 5])Arguments:number : (Numeric)ormatrix : (Matrix)# Matrix#__isub__(self, other)Depending on the argument either substracts a number from the elements of the matrix or substracts two matrices. Changes the object.Example(number):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) - 2=> Matrix([-1, 0, 1], [2, 3, 4], [5, 6, 7])Example(matrix):>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) - Matrix([1, 1, 3], [2, 5, 7], [2, 3, 4])=> Matrix([0, 1, 0], [2, 0, -1], [5, 5, 5])Arguments:number : (Numeric)ormatrix : (Matrix)# Matrix#__getitem__(self, index)Access the elements of the matrix with the [] operator.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])[1]=> Vector(4, 5, 6)Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])[1][2]=> 6Arguments:number : (int)# Matrix#transposed(self)Tranposes a matrix. Returns a new object.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).transposed()=> Matrix([1, 4, 7], [2, 5, 8], [3, 6, 9])Arguments:No arguments# Matrix#transpose(self)Tranposes a matrix. Changes the object.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).transpose()=> Matrix([1, 4, 7], [2, 5, 8], [3, 6, 9])Arguments:No arguments# Matrix#__mul__(self, other)Depending on the argument eigher multiplies the matrix elements with a number or mlultiplies two matrices.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) * 2=> Matrix([2, 4, 6], [8, 10, 12], [14, 16, 18])Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]) * Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9])=> Matrix([30, 36, 42], [66, 81, 96], [102, 126, 150])Arguments:number : (Numeric)matrix : (Matrix)# Matrix#minor(self, i, j)Returns a matrix without the row and the colum given as arguments.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).minor(0, 1)=> Matrix([4, 6], [7, 9])Arguments:number1 : (int)number2 : (int)# Matrix#determinant(self)Finds the determinant of a square matrix.Example:>> Matrix([1, 2, 3], [4, 5, 6], [7, 8, 9]).determinant()=> 0Example:>> Matrix([1, 3, 5], [-4, 7, 1], [5, -2, 1]).determinant()=> -99Arguments:no arguments# Matrix#inversed(self)Finds the inverse of a square matrix.Example:>> Matrix([3, 4], [5, 2]).inversed()=> Matrix([-0.1428, 0.2857], [0.3571 ,-0.2142])Arguments:no arguments# Matrix#round(self, number)Rounds the elements of the matrix. Changes the object.Example:>> Matrix([-0.093, 0.131, 0.323], [-0.092, 0.242, 0.211], [0.272, -0.173, -0.192]).round(2)=> Matrix([-0.09, 0.13, 0.32], [-0.09, 0.24, 0.21], [0.27, -0.17, -0.19])Arguments:number : (int)