Mathematics 1229A/B Lecture Notes - Lecture 10: Horse Length, Ibm System I

• School: Western University
• Department: Mathematics
• Course: Mathematics 1229A/B
• Professor: Mohsen Mollahajiaghaei

Document Summary

Matrix is a rectangulararrayof numbers each of which iscalledan entry of the matrix. Weenclosetherectangulararmyin bracketsorparentheseseachhorizontalline of numbers iscalled a row eachverticallineis a column. Augmented matrix if we take a given linearsystemput it instandardform andthendelete all variables and andplus andequalsigns ve obtain a rectangulararrayof numbers thisarray iscalledthe augmentedmatrix of thesystem. X t 22 t y e 2 y 15 12 6. X t 2 4 a 4 y 2 z l. 2a t i b 2 c d o. 2 interchangetheposition of 2 rows nge e position. 3 replace a rowbythesum of itselfand a multipleofanotherrow. 1 bymultiplying a rowby we mean multiplyeachentry of a rowby. 2 by thesum of two rows we mean thesum ofthecorrespondingentries. If we multiply thefirstandsecond row by3and 2 respectively then weget the matrix. If youreplacethe 2ndrow by itself plusthe firstrow youge. Replacethe 1strow with 1st 2ndrow i o_0137 19 it t. L io l i f o o l i o_0 i.