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. Example Here is a matrix of size 2 2 (an order 2 square matrix): 4 1 .. 3 2 . The boldfaced entries lie on the main diagonal of the matrix. (The other diagonal is the skew diagonal.). (Section : MATRICES and DETERMINANTS ) PART B: THE AUGMENTED MATRIX FOR A SYSTEM OF linear EQUATIONS. Example 3x + 2 y + z = 0. Write the augmented matrix for the system: . 2x z = 3. Solution Preliminaries: Make sure that the equations are in (what we refer to now as).
(Section 8.1: Matrices and Determinants) 8.01 CHAPTER 8: MATRICES and DETERMINANTS The material in this chapter will be covered in your Linear Algebra class (Math 254 at Mesa).
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