Determinant as area

Determinant as area preview
remixableManimCE2Dlinear algebraloop

manim/determinant_area.py

"""Determinant as area: the unit square's image breathing, its sign flipping.

Render (the driver does this for every palette; these are for eyeballing):
    P=/opt/homebrew/opt/python@3.11/bin/python3.11
    ASSET_MODE=still  $P -m manim -s -t -r 1600,1600 manim/determinant_area.py DeterminantArea
    ASSET_MODE=motion $P -m manim -qh   -r 1600,1600 manim/determinant_area.py DeterminantAreaLoop
"""

import numpy as np
from manim import (
    LEFT,
    RIGHT,
    TAU,
    UP,
    Arrow,
    DashedVMobject,

The full Manim source and the rendered video come with a plan.