Topic: Pseudoinverse and Low-Rank Approximation

Worked Low-Rank Approximation Examples

Why Rectangular Systems Need a Pseudoinverse

Why A⁺b Is the Minimum-Norm Least-Squares Solution

Uniqueness of the Moore-Penrose Pseudoinverse

The Pseudoinverse in Singular-Vector Coordinates

The Four Moore-Penrose Equations

Rank-k Approximation and Matrix Norms

Rank-Deficient Least-Squares Examples

Pseudoinverses as Orthogonal Projections

Pseudoinverse Formulas for Full-Rank Matrices