Class Matrix

linear_algebra/src/lib.py:243–424

class: Matrix This class represents an arbitrary matrix. Overview of the methods: __init__(): __str__(): returns a string representation __add__(other: Matrix): matrix addition __sub__(other: Matrix): matrix subtraction __mul__(other: float): sc

class Matrix:
    """
    class: Matrix
    This class represents an arbitrary matrix.

    Overview of the methods:

        __init__():
        __str__(): returns a string representation
        __add__(other: Matrix): matrix addition
        __sub__(other: Matrix): matrix subtraction
        __mul__(other: float): scalar multiplication
        __mul__(other: Vector): vector multiplication
        height() : returns height
        width() : returns width
        component(x: int, y: int): returns specified component
        change_component(x: int, y: int, value: float): changes specified component
        minor(x: int, y: int): returns minor along (x, y)
        cofactor(x: int, y: int): returns cofactor along (x, y)
        determinant() : returns determinant
    """

    def __init__(self, matrix: list[list[float]], w: int, h: int) -> None:
        """
        simple constructor for initializing the matrix with components.
        """
        self.__matrix = matrix
        self.__width = w
        self.__height = h

    def __str__(self) -> str:
        """
        returns a string representation of this matrix.
        """
        ans = ""
        for i in range(self.__height):
            ans += "|"
            for j in range(self.__width):
                if j < self.__width - 1:
                    ans += str(self.__matrix[i][j]) + ","
                else:
                    ans += str(self.__matrix[i][j]) + "|\n"
        return ans

    def __add__(self, other: Matrix) -> Matrix:
        """
        implements matrix addition.
        """
        if self.__width == other.width() and self.__height == other.height():
            matrix = []
            for i in range(self.__height):
                row = [
                    self.__matrix[i][j] + other.component(i, j)
                    for j in range(self.__width)
                ]
                matrix.append(row)
            return Matrix(matrix, self.__width, self.__height)
        else: