Linear Algebra: Challenging Problems for Students

by Fuzhen Zhang


# ISBN-13: 9780801891250 
# Publisher: Johns Hopkins University Press
# Publication date: 4/7/2009
# Series: Johns Hopkins Studies in the Mathematical Sciences Series  
# Edition number: 2
# Pages: 264


Table of Contents
=================

Preface  

Ch. 1 Vector Spaces ........................................... 1 
Ch. 2 Determinants, Inverses, Rank, and Linear Equations ...... 9 
Ch. 3 Matrices, Linear Transformations, and Eigenvalues ...... 23 
Ch. 4 Special Matrices ....................................... 41 
Ch. 5 Inner Product Spaces ................................... 61 
      Hints and Solutions .................................... 71 
      Main References ....................................... 169 
      Notation .............................................. 171 
      Index ................................................. 173 


A supplement for undergraduate and first-year graduate students majoring in mathematics, statistics or related areas. Provides 200 problems arranged in the approximate order and level of some commonly used linear algebra textbooks. Well-known theorems are excluded but expected to be used freely. Only a few problems need the Jordan canonical forms for their solutions. Hints and solutions are in the back, guarded only by the student's desire to learn.



Author Info:
===========
Fuzhen Zhang is a professor of mathematics at Nova Southeastern University. He is the author of Matrix Theory: Basic Results and Techniques and the editor of The Schur Complement and Its Applications.

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