quiz2 - v } does not span R 3 . 3) a) If A = [ u 1 u 2 v ]...

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MAS 3105 Quiz 2 September 9, 2010 1) Use Gaussian elimination to solve the following systems of equations. Show ALL of the steps. x 1 + + 2 x 3 = 3 2 x 1 + x 2 + x 3 = 1 x 1 + 2 x 2 - x 3 = 0 x 1 + + 2 x 3 = 3 2 x 1 + x 2 + x 3 = 1 2) Let u 1 and u 2 be the vectors: u 1 = 1 2 3 u 2 = 2 1 0 a) Find a vector v such that { u 1 , u 2 , v } is linearly independent. b) Find a vector v such that { u 1 , u 2 , v } is linearly dependent. c) Find a vector v such that { u 1 , u 2 , v } spans R 3 . d) Find a vector v such that { u 1 , u 2 ,
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Unformatted text preview: v } does not span R 3 . 3) a) If A = [ u 1 u 2 v ] from 2 a), what is the rank and nullity of A ? b) If A = [ u 1 u 2 v ] from 2 b), what is the rank and nullity of A ? c) If A = [ u 1 u 2 v ] from 2 c), what is the rank and nullity of A ? d) If A = [ u 1 u 2 v ] from 2 d), what is the rank and nullity of A ?...
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This note was uploaded on 07/29/2011 for the course MAS 3105 taught by Professor Dreibelbis during the Fall '10 term at UNF.

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