3A_midterm_soln

3A_midterm_soln - Math 3A Midterm Exam Name: Date: XTY...

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Unformatted text preview: Math 3A Midterm Exam Name: Date: XTY 10/23t09 This _test consists of 10 questions worth 15 points each. Read all directions carefully. Show all work needed to ative at your solutions. Clearly indicate and label your/inal anwers-. Havefunl l) Determine whether each of the following statements is true or false. (No work needs to be shown.) a. Row operations on a maffix can change the null sDace. True @ b. Any plane in IR3 is a two dimensionFbpace of IR3, True ,,@ c. Given any set of vectors Fpir) uidTrut ix U with columns i1,il2,then the matrix U-r transforms the coordinates of an (- - True '""m:pan{i"f,"'} intothe standard basis' d. Any set of vectors ggntai4ing the zehrdtor is linearly dependent. ( True) Fatse e. Given vectors vr,vfi,vn are .in a vector space I/, lf d,imV = n and Span(vr,722t...tun) = V, then {u1, r22, ...,u,.} gannt be a linearly dependent set. @q False 2) A.) The following is not a vector space. Which axioms of a vector space are not satisfied?...
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3A_midterm_soln - Math 3A Midterm Exam Name: Date: XTY...

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