q3Solution

q3Solution - MATH 2025, fall 2009 Quiz 3 Name Please Show...

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Unformatted text preview: MATH 2025, fall 2009 Quiz 3 Name Please Show all work, the correct arguments counts for half of the points! (Please print) 1[10P]) Which of the following sets of vectors is linearly independent and which are not? a.) V = R2, (1,1), (2,1). b) V 2R3, (1,1,0), (1,4,1), (2,1,1), (4,2,4). 0) V 2R4, (1,0,1,—1), (2, 1),—1,1), (0,1,1,1). d) V : C([0, 1]) I, 932. 1+w2. 2[5P]) Write the vector (3,3,6) as a. linear combination of (1, -—1,0), (1,1,1), and (1, 1, —2). .A-,M.«..«m"amwm$wnfigw 3[5P] Which of the following sets of vectors is a basis for the given vector space? a.) V = R2, (1,4), (—2, —8). b) V :R3, (1,1,—2), (1,1,1), (1,—1,0). e) V = R3, (1,3,1), (1, m1,2). d) V :11? (1,2,1), (2,4,0), (2,4,4), (1,4,4). %m,;m in; arm #3 0 Ct) Lkimwdt) Omwafi: NM CM a flmsz. ahmwfi: 1; gmiihclmlmzmjm W ,M.A,,,,_.W"wwwmmmwwm.‘.........<._.. “Wm. . ‘ A ‘ ‘ ....‘ U .u A“ A A ‘ ,___ . ‘ (TM) 5140} C3,?3é3CHl) 2 ) i J } _ ' I I] C [5‘63 \C whom? (I) ’1 M 110,1,DHZO’IH'} (3’s avian—:2) ’ i I ’ (ml—Q3 [‘C‘J]1~R\HZ \ “c, g) a...) cnqggxzéz) C1121) knew d2f%m,,_\vd a barn/S ______......_____.__ b) ’waige (3W8 WP: 1‘2) CW ML: CW w: S—LvaAd ...
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q3Solution - MATH 2025, fall 2009 Quiz 3 Name Please Show...

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