linear_algebra.src.transformations_2d
=====================================

.. py:module:: linear_algebra.src.transformations_2d

.. autoapi-nested-parse::

   2D Transformations are regularly used in Linear Algebra.

   I have added the codes for reflection, projection, scaling and rotation 2D matrices.

   .. code-block:: python

       scaling(5) = [[5.0, 0.0], [0.0, 5.0]]
       rotation(45) = [[0.5253219888177297, -0.8509035245341184],
                       [0.8509035245341184, 0.5253219888177297]]
       projection(45) = [[0.27596319193541496, 0.446998331800279],
                         [0.446998331800279, 0.7240368080645851]]
       reflection(45) = [[0.05064397763545947, 0.893996663600558],
                         [0.893996663600558, 0.7018070490682369]]



Functions
---------

.. autoapisummary::

   linear_algebra.src.transformations_2d.projection
   linear_algebra.src.transformations_2d.reflection
   linear_algebra.src.transformations_2d.rotation
   linear_algebra.src.transformations_2d.scaling


Module Contents
---------------

.. py:function:: projection(angle: float) -> list[list[float]]

   >>> projection(45)  # doctest: +NORMALIZE_WHITESPACE
   [[0.27596319193541496, 0.446998331800279],
    [0.446998331800279, 0.7240368080645851]]


.. py:function:: reflection(angle: float) -> list[list[float]]

   >>> reflection(45)  # doctest: +NORMALIZE_WHITESPACE
   [[0.05064397763545947, 0.893996663600558],
    [0.893996663600558, 0.7018070490682369]]


.. py:function:: rotation(angle: float) -> list[list[float]]

   >>> rotation(45)  # doctest: +NORMALIZE_WHITESPACE
   [[0.5253219888177297, -0.8509035245341184],
    [0.8509035245341184, 0.5253219888177297]]


.. py:function:: scaling(scaling_factor: float) -> list[list[float]]

   >>> scaling(5)
   [[5.0, 0.0], [0.0, 5.0]]