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BRANCH OVERVIEW

Linear algebra

Vector spaces, linear maps, and spectral structure.

← All branches · Each sheet includes definitions, theorems, applications, and exercises with hints and worked solutions.

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Linear algebra

Vector spaces, linear maps, and spectral structure.

Vector spaces & linear mapsSeparate coordinate-free objects from the matrices used to describe them.
Eigenvalues & diagonalizationFind directions on which a linear transformation acts only by scaling.
Orthogonality, least squares & SVDApproximate a vector by its closest point in a subspace.