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LINEAR ALGEBRA
4th STEPHEN H.FRIEDBERG, ARNOLD J.INSEL, LAWRENCE E.SPENCE
Exercises Of Chapter 1-4
http : //math.pusan.ac.kr/caf e home/chuh/
Contents
¡×1. Vector Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1.1. 1.2. 1.3. 1.4. 1.5. 1.6. 1.7. Introduction . . . . . . . . . . . . . . . . . . . . . . . . Vector Spaces . . . . . . . . . . . . . . . . . . . . . . . Subspaces . . . . . . . . . . . . . . . . . . . . . . . . . Linear Combinations and Systems of Linear Equations Linear Dependence and Linear Independence . . . . . . Bases and Dimension . . . . . . . . . . . . . . . . . . . Maximal Linearly Independent Subsets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 3 9 19 24 32 50
¡×2. Linear Transformations and Matrices . . . . . . . . . . . . . . . . . . . . . . . . 55 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. Linear Transformations, Null Spaces, and Ranges . . . ¡¦(»ý·«)