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)

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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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