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Lecture4c: Coordinates

Lecture 10e: Why do matrices have singular value decompositions?

Lecture 10a: Eigenvectors of symmetric matrices

Lecture 10c: How to compute singular value decomposition

Lecture 10b: Singular value decomposition

Lecture 10d: How to use singular value decomposition

Lecture 9c: Algebraic and geometric multiplicity

Lecture 9b: Eigenbases

Lecture 9d: Algebraic and geometric multiplicity: proofs

Lecture 9a: Diagonalization

Lecture 8b: Computing eigenvalues and eigenvectors

Lecture 8c: Formulas for powers of matrices

Lecture 7c: Formulas for determinants

Lecture 7b: Geometry of determinants

Lecture 8a: Introduction to eigenvalues and eigenvectors

Lecture 6b: The method of least squares

Lecture 6c: Least squares and data fitting

Lecture 7a: Properties of determinants

Lecture 6a: QR decomposition

Lecture 5c: Orthogonal projection

Lecture 5d: The Gram-Schmidt algorithm

Lecture 5b: Orthonormal bases

Lecture 5a: Dot products

Lecture 4b: Dimension