Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture covers the QR factorization theorem, stating that for a matrix A with linearly independent columns, there exists a factorization A = QR where Q has orthonormal columns forming a basis of the column space of A and R is an upper triangular matrix with strictly positive diagonal coefficients. The Gram-Schmidt procedure is used to transform the columns of A into an orthonormal basis. The lecture demonstrates the algorithm with an example, finding the QR factorization of a given matrix.