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# quiz2 - Sﬂlmi'iohﬁ Math 3353 T Hsgstroin Fell 20GB Quiz...

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Unformatted text preview: Sﬂlmi'iohﬁ Math 3353 T. Hsgstroin Fell 20GB Quiz 2 1. {15 Flt-5.} Let 1 3 [l 3 —1 —1 —]. l A: n —4 2 —s 2 ﬂ 3 -1 Answer the following questions1 justifying your answers with appropri- ate calculations. {No calculations. no credit!) i. How main}.r rows of A contsin pivot positions? ii. Does the equation Ax = b have a solution for each x E R“? iii. Do the Columns of A span lit“? 2. [5 pts.) Describe all solutions of A}: = [l in parametric form where 3 —El' E A ‘ ( —1 s —2 ) 3. {5 pts] Determine if the following set of vectors is lines:r.'lj.r independent. (5) ( If) ( g )} U , E I 4 0 _ﬁ F3 L1 3 {EMS Ci} ﬁ‘l‘ﬁin 193i ”JG-lg, [Jill Ni} "4* W Pivot in Fool3 “ll M lions 13an LL- 3 ~21 In @mrmmeirio JPDT'HW X; (g) +X3(c13) L [l 5 7“ a. 2: 1+ —\3 C? a it) :3 :Pwejr in Qatar? mlumo o -g ”Q C" ‘3’ ...
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