Lecture Notes 9

• School: UTSC
• Department: Mathematics
• Course: MATA33H3

Document Summary

=y= = 0 which is when all consistent . Any solutions that has at least one non - zero is called a non - trivial solution systems are always. For any systems of linear equcin: no solutions (inconsistent) 2)exactly one: infinitely many solutions (consistent) solution (consistent] Dx :o { toy +02=0 y y} : if han : the system has intitely many solutions, if h=n : the system has exactly one solution , which is the trivial solution. , and a is a mxn matrix {m is # ah equcin crows] n is # of unknown (cols) , - - - - eron ] - f; ; ; A homogenous system with fewer equa "n than let dx :o ( a homogenous system) the reduced coefficients matrix ( reduced harm oh a) 4 -129-2=0 infinitely many solutions infinitely many solutions . 0 +14-102=0 ex + oy -102=0 the number ah non - zero rows.