1. Lesson 15 (S&H, Section 14.5) Diagonalization Math 20October 24, 2007 AnnouncementsMidterm done. Nice job!Problem Set 6 assigned today. Due October 31.OH: Mondays…

Slide 1Last lecture summary Slide 2 Orthogonal matrices Slide 3 independent basis, orthogonal basis, orthonormal vectors, normalization Put orthonormal vectors into a matrix…

Slide 18.5 Similarity Slide 2 SIMILARITY The matrix of a linear operator T:V V depends on the basis selected for V that makes the matrix for T as simple as possible a diagonal…

PowerPoint Presentation Diagonalization Revisted Isabel K. Darcy Mathematics Department Applied Math and Computational Sciences University of Iowa Fig from knotplot.com 1…

Chapter 7 Eigenvalues and Eigenvectors 7.1 Eigenvalues and eigenvectors Eigenvalue problem: If A is an nn matrix, do there exist nonzero vectors x in Rn such that Ax is…

If A is an n x n matrix, then a scalar is called an eigenvalue of A if there is a nonzero vector x such that Ax = x. ⦠If A is a triangular matrix then the eigenvalues…