Lecture

QR Factorization: Least Squares System Resolution

Description

This lecture covers the QR factorization method applied to solving a system of linear equations in the least squares sense. It explains how for a matrix A with linearly independent columns, the equation AX = b has a unique least squares solution given by X = R^-1 * Q^T * b. The lecture also discusses the properties of the matrix Q, the uniqueness of the solution, and the orthogonal projection in the space of column vectors of Q.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_upjuxo76

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Statistics

Data analysis: Regression analysis

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