MAT223H5 Lecture 1: MAT223-1
26
MAT223H5 Full Course Notes
Verified Note
26 documents
Document Summary
X , z non i leading w y , !i!it:3 as a coma . i leading non leading: y i z. I x1 = 0, x2 = 0, . , xn = 0 is always a solution to any homogeneous equation. I we call this solution the trivial solution. I any other solution is called a non-trivial solution. I we solve a homogeneous system as we do any other. (use row-reduction!) I if a homogeneous system has more variables than equations, then it has non-trivial solutions. I we often arrange a solution of a system s1 , s2 , . , sn into a column: s1 s2 sn. I given two columns of the same size we can: add them, scale them: c a1 a2 an a1 a2 an a1 + b1 a2 + b2 an + bn b1 b2 bn ca1 ca2 can.
