Unformatted text preview: four quiz grades, so far. The average for that is approx 194 out of 240. 1a) a 1 + a 2a 3 + 0 a 4 = . A dependency relation is an equation that shows a set of vectors ﬁts the deﬁnition of LD. Ideally, it should contain all 4 vectors and should have the zero vector on the RHS. 1b) Use the leading ones in U to choose { a 1 , a 2 , a 4 } . Actually, any basis of R 3 is also OK, but I didn’t give full credit for other bases without some valid explanation or work. 1c) A basis is [1 , 1 ,1 , 0] T (essentially the same as the answer to 1a). Nullity = 1. 2) Combine the vectors into a matrix B and ﬁnd its inverse. It has zeroes on the diagonal and b 12 = 1 and b 21 = 1 / 2. It is always a good idea to check your answer to any B1 calculation, since it only takes a few seconds. I usually give less partial credit in this situation. 3) See text or HW. 1...
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 Spring '09
 JULIANEDWARDS
 Linear Algebra, Equivalence relation, Ker, Dependency relation

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