Matrices as Transformations

Every matrix is a function that reshapes space

Matrices aren't just grids of numbers -- they are linear transformations. This module teaches matrix addition, multiplication, and transposition, but always through the lens of geometry: rotation, scaling, shearing, and projection. You'll visualize each operation with matplotlib, watching the unit square deform in real time. This geometric framing is essential because every layer of a neural network is a matrix transformation. Mini-lab: Build an interactive 2D transformation visualizer -- pick a matrix, watch the grid warp.

Estimated time: 60 minutes

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