Lecture 18: Counting Parameters in SVD, LU, QR, Saddle Points

Om kurset

Description In this lecture, Professor Strang reviews counting the free parameters in a variety of key matrices. He then moves on to finding saddle points from constraints and Lagrange multipliers. Summary Topic 1: Find \(n^2\) parameters in \(L\) and \(U\), \(Q\) and \(R\), … Find \((m + n - r)r\) parameters in a matrix of rank \(r\) Topic 2: Find saddle points from constraints and Lagrange multipliers Related section in textbook: III.2 Instructor: Prof. Gilbert Strang