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Quiz6 solutions 225

# Quiz6 solutions 225 - ifom/T/o/U Math 225 Quiz 6 Use both...

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Unformatted text preview: ifom/T/o/U ( Math. 225 - Quiz 6 October 29, 2009 Use both sides of the paper if necessary 1 3 Letv1= 0,122: 1,113: 2 ,andw= 1 1 2 (a) Is w in {111,112,113}? N O. to ,4. 00 CD ' i” 111* ”1'31 (b) IswinSpan{U1,vg,vg}? Why? 111/151 («1\€CL‘% 1 11.12535 1 k“) K50 114.1170‘4‘0 o BLAST 6 1.143 51%? JLH 0 e “2.5: ““2 O [5.13 I} 01 {'3 (9‘2 011-1 00 or) Q...) Z £3 2“ e (C ) Let A be an m X n matrix. Deﬁne the null space Nul(A) and prove that it is a subspace of R”. Di; NmitA):{xem1‘/ M201 6 01/6363 Mali/+ﬁ 9f X,X'5Nwim)1~1\m 3 Atmx‘): Afo: MORE re XH‘ 5,4 {m MUM/11 ‘/ W I C103€O1WA6UJ' ; I45 xeNvJCA1a/Mt 6.611% 3 P‘LCXN: CCAX1fCOs© 3 re- cxg g- {0.16m / ‘ ...
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