Chapter Summaries for Kolman/Hill, Elementary Linear Algebra, 9th ...

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MATH 240 Fall, 2007 Chapter Summaries for Kolman / Hill, Elementary Linear Algebra, 9th Ed. written by Prof. J. Beachy Sections 1.1–1.5, 2.1–2.3, 4.2–4.9, 3.1–3.5, 5.3–5.5, 6.1–6.3, 6.5, 7.1–7.3 Chapter 1: Linear Equations and Matrices DEFINITIONS There are a number of definitions concerning systems of linear equations on pages 1–2 and 27–28.

• linear systems
• basic properties of matrix operations
• inner product
• linear transformation
• row
• vector space
• matrix
• real numbers
• basis
• vectors