Transcription of CHAPTER 8: MATRICES and DETERMINANTS
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CHAPTER 8: MATRICES and DETERMINANTS
(Section : MATRICES and DETERMINANTS ) CHAPTER 8: MATRICES and DETERMINANTS . The material in this CHAPTER will be covered in your Linear Algebra class (Math 254 at Mesa). SECTION : MATRICES and SYSTEMS OF EQUATIONS. PART A: MATRICES . A matrix is basically an organized box (or array ) of numbers (or other expressions). In this CHAPTER , we will typically assume that our MATRICES contain only numbers. Example Here is a matrix of size 2 3 ( 2 by 3 ), because it has 2 rows and 3 columns: 1 0 2 .. 0 1 5 . The matrix consists of 6 entries or elements. In general, an m n matrix has m rows and n columns and has mn entries.
(Section 8.1: Matrices and Determinants) 8.06 2) Row Rescaling Example Consider the system: 1 2 x + 1 2 y = 3 y = 4 If we multiply “through” both sides of the first equation by 2, …
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