MA232_Test2_solns

MA232_Test2_solns - Test 2 MA232 Fall 2008 Diffcrr‘ntial...

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Unformatted text preview: Test 2 MA232 Fall 2008 Diffcrr‘ntial Equations You mum show work may receive full i. Snlu- the initial vnlmt prnhlrms by wuitlliun of parmmruws. (20 pts each) (a) 3/ + 2y—tc‘2’, y(1)=0. ()‘h‘ t it -.— Z = '7' " At*4"0 1:6 (“1) z -1 <5? - '2 .‘ ng‘BZN 0-6 ((+1) \ Mal-4*“ 4:: (z’ié': -z£+¢ i“: C -zt 'Yf \ ~|h_ % \l= 6 J17 —Z— Wt) : Z & /__..--r~:‘ ’ -1 5w»: 2132f" fl: 9 (it-U =vu>€ 2 ‘0 ,zt z.._ _ _ - I" 41*91 fr. 7% _.Z.t final M; VH3 "yr/me : t6 V‘lfY’i g M): Ru ' LIZé-r— -zt wife é"; 7, ("H‘M’ _ 4.! L '2{ i- (e M, e y(—~2).-.4. Usc the following matrices and vectors for problems ‘2 and 3. —2 5 ~ 2 B-l—m} d-M C 2 2 2 2. Find the fbllowing: “ '21 D=13 1 1 __ CD Z l 1 Z I Z Z 7 (0 [a :5 Z l 5 2 : J H H) 0 o 1 l u z 7. 1 ‘f N r—f'fi Nun \ NN \/"') I—//\ wN W1 4. 1‘ LN Nm L..._J r/‘\ wN v.2 ll r'T’T‘ .LOQ \—/) 4 r” L: L/’ H C U (airli— A" ‘l/ ‘ A - z \lY1-1‘_ ,L\1 S3: 3. _ f _ #1 p ,3 [\3 . [\3 (ZSptyj \s v (MEL/'9 IDI '. 1 | Z. \ ‘2 Z \ I ’L hw‘é 'I’J*(5)(I)E : < I ’LKtaMUJ-ulns— 1‘0)“, /1_ ,1 L, H 69 (b) __-- Find the eigenvalues ofB ' 3' 7‘ I" Z O {25 ,.')[‘ 035'; '72“; 5 1‘: (-"1-m)(7*/\31S -‘ O .| Z 0 .I‘ _| l'fi (:12; fl _\[.,Z//\":l/;\-'* 755:0 I + 21:0 ~,1'1.-.'j'\/:T 21:»: . ,—, girl/g (c) fly] 5, Find the eigenvalues ofC \ C , I l t 0 £949,238” 2'1‘23‘Z‘fg ‘[géz_3 0°'J\ \00301‘A 1’2-7‘)U‘5—/\)('2'3) 013- ,rl .0 l4 (1) E0 — (W J: O (1—2)(5-1)(1-}1) 3-0 P\\ rll:l'_\' 21—3 ‘, (d) l l Fl 5 Find the eigenvalues and eigenvcctors of A | |A.}Il-‘-o \{25 «zzEflxi‘o Z —’L"} : (-9- A)(—-1»-))'q : 0 1f —s~/\ 1 21/ \A’ g‘l-Bv‘t.: O (/f" ff) \\ \ (J 141. L L ’E: E‘s-Mia ‘ )be 0) V hqql‘lgzlo ...
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This note was uploaded on 08/31/2009 for the course MA 232 taught by Professor Toland during the Spring '08 term at Clarkson University .

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MA232_Test2_solns - Test 2 MA232 Fall 2008 Diffcrr‘ntial...

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