quiz4 - Saluflflhfi ."-.-i51|.JI 37:15:1-...

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Unformatted text preview: Saluflflhfi ."-.-i51|.JI 37:15:1- "J‘. Flagatrmu Full Eflfll} Quin-E =1 1. [IE $313.]- TEE-2' [IlflLl'ifllle .4. and B rm: mu.- cquimflcm: l —-1 SJ —'r' 1 II} —J 5 A: —1 2 r1 1 H: U —2 E- —U fl- —|3 IEI ? [1 I1] D _|:| i- Whal. i5 Lllr: Tan}: 01' :1? WhnL is Hm [firmer-Liam: nF Nullm}? i'L. Find a ham; fc-r {In-[Lil]- iii. Find El. hflfiifi {111' HnwLfifl. iv. Find :1 basis: fnr Nulflfl}- 2- {D [115.] Define T: PE —l IE.3 by Ewan Shaw tJmL '1" L? n. 11mm tranaim'matinn. What is its 1:21-ch2? 11L. flaw ah“; 13iunfl in “Hal's; {ramifi- {'mc Cflllttmni ‘14: EJ L-Ia'Lq‘L‘k [5. in row ELL‘I‘xaLllbn Siam. L“ Mamba :1.-ML-w1fim"x\ = H- 21 +3:- L“, :1; 3hr EfllleI '- (I .1 X hu‘ L B 33- fl 1 fig ." .' I ‘1; LL». G a + a a; w. K3} Li. ‘prgg .l i. E .— :5 ~- X t H ‘EX - if“? 1 3 1+ 4:} %I?13E5~ . m ~s i: % Baa-52 glam mink] 5,; H3 . 1 C: 0J1 gahiieng Math 33.53 '1‘. llngsumn Fall 2009 Quiz 4 1. [113 pts.) The matrices A and B are rn'w equiwlent: i —4 e —i' 1 e *1 s A: —1 2 —.»i 1 B: e —2 s —s s _--s iii 1* e n n e i. What is Liie mnk of A? What is the dimension of Nniilzfiij? ii. Find a, basis in: CUI{A}. iii. Find a basis for Rnwfii]. iv. Find a basis i'nr NuilM}. '2. (ii puts.) Define T: Pg —+ 11F by Tn = (iii ) Shnw that. T is a, linear transfnrinatinn. What is its kernel? _, {ennui _1 etc] fie] >h Hi} i“) g- ‘- ‘ T rm w = m n ‘PWFMHS Wind in raw QCLeian. 435% A K1 O 0\ s (i; 12mm; x529: a; mmmfim ...
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quiz4 - Saluflflhfi ."-.-i51|.JI 37:15:1-...

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