Determinants and Inverses

The scaling factor of transformations and when you can undo them

The determinant tells you how a matrix transformation scales area (or volume). If it's zero, the transformation crushes space into a lower dimension -- and the matrix has no inverse. This module builds geometric intuition for determinants, then connects to matrix invertibility. You'll compute determinants and inverses by hand and with NumPy. Mini-lab: Visualize how the determinant changes as you continuously deform a 2x2 matrix from invertible to singular.

Estimated time: 45 minutes

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