Subjects / Linear algebra

Best books to learn Linear algebra, in order

Linear algebra is a bottleneck for machine learning, physics, and graphics, and there's a right way in. The order that works builds geometric intuition first — vectors and transformations as things you can picture — then the computational machinery of matrices, then the abstractions of eigenvalues and vector spaces. Start with the abstract axioms and it's lifeless. See the geometry, then compute, then generalize.

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Reading paths for linear algebra

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Frequently asked questions

How should I approach learning linear algebra?
Linear algebra is a bottleneck for machine learning, physics, and graphics, and there's a right way in. The order that works builds geometric intuition first — vectors and transformations as things you can picture — then the computational machinery of matrices, then the abstractions of eigenvalues and vector spaces. Start with the abstract axioms and it's lifeless. See the geometry, then compute, then generalize.
What's a good book to start linear algebra with?
A strong starting point is Linear algebra and its applications by Gilbert Strang. The ordered reading paths above show exactly where it fits and what to read next.
What should I read after linear algebra?
Once you have the fundamentals, explore closely related subjects like Trigonometry, Astrobiology & the search for alien life, The chemical elements & the periodic table.

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