Transcription of CHAPTER 8: MATRICES and DETERMINANTS
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(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.
(Section 8.1: Matrices and Determinants) 8.07 3) Row Replacement (This is perhaps poorly named, since ERO types 1 and 2 may also be viewed as “row replacements” in a literal sense.) When we solve a system using augmented matrices, … We can add a multiple of one row to another row. Technical Note: This combines ideas from the Row Rescaling ERO
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