Unformatted text preview: it in green ink on your Quiz. I used a scale of A = 80% and above, etc. [Of course, I will include your HW/etc into the calculation later on, and I will replace your lowest quiz grade with your MHW as promised  this method is just rough approximation. The scale may also change.] 1) The RREF of A is U = ± 11 1 1 21 ² The free variables are x 4 = α and x 3 = β . Get x 2 =2 β + α and x 1 =α + β . so, N ( A ) = { (α + β,2 β + α, β, α ) T } . Find the spanning set by factoring out the Greek letters; S = { (12 1 0) T , (1 1 0 1) T } . You should check that each vector in S satisﬁes Ax = 0 (because it is so easy). Other answers are possible. 2) FTTTT 3) From HW or text. Of course, you need to prepare for such proofs before each quiz. I’d suggest practicing the explanations too  not just the calculations. 1...
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 Spring '09
 JULIANEDWARDS
 Linear Algebra, Det, Prof. S. Hudson

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