MAT223H1 Lecture 1: Class 1 (1.1)
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Quiztest learning definitions ax tax t. it anxn b. Def a linear equation in variables m is an equation oftheform where a"s andb are constant lineqinxi isalineqinx. in . At 4 is ing a linear equation a lineq. in x x. I variables indexof ashow which equationwearelooking at a. Collection of m linear equations is in the same n. Gn t 912xzt gnrn i bi aux tamxni. bz am ni t tamnnn b. ru is specifiedby mxn taunt. I e i em and m numbers bi. Sn of n numbers a list is sir is such that setting xii si for each tif ilet i tm i to n makes everyeqn in the system a hue statement. Solution set of a linearsystem is the set of all solutions. Example ia h 21 is a solutionof 2x t3 4. 4 4 is anothersolution infinite points in solutionset1 is a solutionof. Important question when does a linearsystem have exactly i solution nosolution or infinitely many sins.
