Name:Tuesday section time:Student ID:Math 20F - Linear Algebra - Winter 2003Quiz #4 — February 11(Do not discuss the quiz with students who haven’t taken it yet – until 8:00pm.)Letv1=21-1,v2=202, andv3=-1-12.Answer the following questions. (As usual, be sure to justiﬁy your answers).1. Arev1,v2,v3linearly independent?2. If not, show explicitly an example of how they are linearly dependent.3. What is the dimension ofSpan(v1,v2,v3)?ANSWER: If they are linearly dependent, there is a non-trivial solutionto22-110-1-122x=0.We search for a non-trivial solution using rowreduction:---20⇒---⇒
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