Constrained least squares

Constrained least squares

Least squares

Least squares

Generalized inverse of matrices

Generalized inverse of matrices

Properties of SVD

Properties of SVD

Partitioning the SVD

Partitioning the SVD

Proof of singular value decomposition theorem.

Proof of singular value decomposition theorem.

Singular value definition and some remarks.

Singular value definition and some remarks.

Perturbation of eigenvalues Birkhoff's theorem Hoffman - Weilandt theorem

Perturbation of eigenvalues Birkhoff's theorem Hoffman - Weilandt theorem

Condition of eigenvalues for diagonalizable matrices

Condition of eigenvalues for diagonalizable matrices

Implications of Gersgorin disc theorem, condition of eigenvalues

Implications of Gersgorin disc theorem, condition of eigenvalues

Location and perturbation of Eigenvalues Part2: Gersgorin's theorem

Location and perturbation of Eigenvalues Part2: Gersgorin's theorem

Location and perturbation of Eigenvalues Part1: Dominant diagonal theorem

Location and perturbation of Eigenvalues Part1: Dominant diagonal theorem

Eigenvalues: Majorization theorem and proof

Eigenvalues: Majorization theorem and proof

Interlacing theorem (Continued)

Interlacing theorem (Continued)

Interlacing theorem II (Converse)

Interlacing theorem II (Converse)

Interlacing theorem I

Interlacing theorem I

Positive semi-definite matrix, monotonicity theorem and interlacing theorems

Positive semi-definite matrix, monotonicity theorem and interlacing theorems

Weyl's theorem

Weyl's theorem

Summary of Rayliegh-Ritz and Courant-Fischer theorems

Summary of Rayliegh-Ritz and Courant-Fischer theorems