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Linear algebra is the mathematics of vectors and linear maps, underpinning machine learning, computer graphics, quantum mechanics, and nearly every field of quantitative science. This visualizer renders vectors on a live coordinate grid and animates what happens to the unit grid when you multiply by a matrix—scaling, rotating, shearing, and reflecting—making the geometric meaning of matrix multiplication visceral. Eigenvector decomposition, determinants, and the null space all gain intuitive meaning when you can see them transform space in real time.
linear algebra · matrices · eigenvectors · linear transformations · determinants · vector spaces
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