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Mathematics · self-study course

Linear algebra: spaces, eigenvectors and fitting

Develop matrix, vector-space and projection reasoning before using least squares.

3 lessons24 quiz questionsUniversity

Your learning path

  1. 01

    Bases, rank and linear maps

    A basis both spans a vector space and is linearly independent.

    University · Notes · 8 questions
  2. 02

    Eigenvectors and diagonalization

    Av=λv requires a nonzero vector v.

    University · Notes · 8 questions
  3. 03

    Orthogonality and least-squares fitting

    The closest point in a subspace is found by an orthogonal residual.

    University · Notes · 8 questions