Homework 2 Solutions- Vector Spaces - Christian Searing Assignment hw2 due at 10:15pm PDT Math4A-01-F14-BIGELOW-4-16-23 1(1 pt Let v1 = 1 v2 = 5 v3 = 7

# Homework 2 Solutions- Vector Spaces - Christian Searing...

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Christian Searing Math4A-01-F14-BIGELOW Assignment hw2 due 10/20/2014 at 10:15pm PDT 1. (1 pt) Let v 1 = -4 1 3 , v 2 = -16 5 12 , v 3 = -23 7 18 and w = 6 0 8 . 1 . Is w in { v 1 , v 2 , v 3 } ? Type ”yes” or ”no”. 2 . How many vectors are in { v 1 , v 2 , v 3 } ? Enter ”inf” if the answer is infinitely many. 3 . How many vectors are in Span { v 1 , v 2 , v 3 } ? Enter ”inf” if the answer is infinitely many. 4 . Is w in the subspace spanned by { v 1 , v 2 , v 3 } ? Type ”yes” or ”no”. Correct Answers: NO 3 INF YES 2. (1 pt) Let W be the set of all vectors of the form: -2b+4c b c . Find vectors u and v such that W = Span { u , v } . u = , v = Correct Answers: $$\displaystyle\left.\begin{array}{c} \mbox{-2} \cr \mbox{1} \cr \mbox{0} \cr \end{array}\right.$$ ,$$\displaystyle\left.\begin{array}{c} \mbox{4} \cr \mbox{0} \cr \mbox{1} \cr \end{array}\right.$$ 3. (1 pt) If Au = -3 -4 4 and Av = 4 -2 -1 , then A ( - 3 u + 3 v ) = Correct Answers: 21 6 -15 4.

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• Spring '13
• SCHARLEMANN
• Math, Vector Space, Euclidean vector, Christian Searing

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