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Unformatted text preview: Chapter 1. Matrices and Systems of Equations Math1111 Systems of Linear Equations Objectives Consider the following simple examples: (a) x 1 + x 2 = 2 x 1 x 2 = 2 (b) x 1 + x 2 = 2 x 1 + x 2 = 1 (c) x 1 + x 2 = 2 x 1 x 2 = 2 Problems: Chapter 1. Matrices and Systems of Equations Math1111 Systems of Linear Equations Objectives Consider the following simple examples: (a) x 1 + x 2 = 2 x 1 x 2 = 2 (b) x 1 + x 2 = 2 x 1 + x 2 = 1 (c) x 1 + x 2 = 2 x 1 x 2 = 2 Problems: Chapter 1. Matrices and Systems of Equations Math1111 Systems of Linear Equations Objectives Consider the following simple examples: (a) x 1 + x 2 = 2 x 1 x 2 = 2 (b) x 1 + x 2 = 2 x 1 + x 2 = 1 (c) x 1 + x 2 = 2 x 1 x 2 = 2 Problems: Chapter 1. Matrices and Systems of Equations Math1111 Systems of Linear Equations Objectives Consider the following simple examples: (a) x 1 + x 2 = 2 x 1 x 2 = 2 (b) x 1 + x 2 = 2 x 1 + x 2 = 1 (c) x 1 + x 2 = 2 x 1 x 2 = 2 Problems: Chapter 1. Matrices and Systems of Equations Math1111 Systems of Linear Equations More Terminologies Solution set = the collection of solution(s) of a system Chapter 1. Matrices and Systems of Equations Math1111 Systems of Linear Equations More Terminologies Solution set = the collection of solution(s) of a system We use the bracket { ··· } to collect the solutions....
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 Fall '10
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