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What is Understanding Jordan Decomposition about?

This document summarizes key topics in chapter 8 of a linear algebra textbook, including: 1) The Jordan form of matrices and its use in dealing with non-diagonalizable matrices. 2) The Cayley-Hamilton theorem and its applications. 3) Properties of real symmetric matrices including classifications based on positive/negative (semi)-definiteness. 4) The singular value decomposition and its relationship to eigenvalues of AAT and ATA. 5) Final topics including bounds on eigenvalues using Gershgorin disks and so

Author

陳楷翰

Language

EN