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HW3Solution - 10:10 AM MATLAB Command Window 1 of 1 1‘...

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Unformatted text preview: 9/18/09 10:10 AM MATLAB Command Window 1 of 1 1‘ 2.104% 5,14 W- » >> roots([l 5 4]) ans = -4 -1 >> A=[l l;-4 -l]; >> F=[—.25;O]; >> K=A\F K= 0.0833 -O.3333 >> 3. find 50‘. : ,qt 1/ C—é :: ‘ja k. 6 *‘ >> >> gm):— 534W— :: 35/4“ "m” >> >> fizmawwwzfl. >> L; >> >> >> >> >> >> >> >> >> A=[l l;-4 -l]; >> F=[l;3]; >> K=A\F K= .. (-3; eq+ji€ )uC-éfi (SC "" 3 —1.3333 A." leci- 2.3333 -I{£+ J. e—t)“‘-0+ (‘1 e 1" 3 >14"? 3 I 210 b 1.. . 3+43' #15550) mil gem“ z «1mg 1 .1— m4 3... "3 31-595 Mfg-16+) w-‘vL 043.9 3‘ flu?“ “3 ‘4“3". "’| k3 *‘JLT a.» Zb I ‘ .L 1 3K: 6 (K‘tJ— KL>+Q ii ‘ ‘ ‘ 5 Ed Krjk, ML 04,45 3"“): K2 7.} '0 6.25 i 9‘30: ~26 2?K1t_,§4£u3+€ 3‘ v ‘50“):0 t—ZgL-«Jfi‘ 4.; . L0“: (6 (-jfi -q-'-)+;',L “(-0 ,- 61+ , —,¢ =6262‘(—:x~¢>-262 )W i = {Tit * > 45:le {WW ‘2’ 9/18/09 10:31 AM MATLAB Command Window 1 of 1 2,10 1;: cwszwfié’” >> rOOtS([l 4 4]) ans = —2 —2 >> A=[0 l;l —2]; >> F=[—.25;0]; >> K=A\F K = -0.5000 —O.2500 ’ >> 3 find at w/IL (710’: >> >> 3 : 6'2’6( [fit A: K3,) >> LC Z: ., 1 a, >> Ejic (£5) “P 1L“ kszw «2‘? : .‘ '-1a-u[mt+m+ \46 L6 ’ >> E1 ‘ ‘k a: >> (ii) 1;.63 1* “'02‘y52 3 >> A=[0 l;l —2]; 83“ >> F=[.5;O]; >> K=A\F K = 1.0000 0.5000 ““204" >> 235‘: 3 ff H "S 6’ .. +32, (flu. ‘ C‘tKszz+k;sozz¢-3 LA 7; é't(’éw?j QW3ée‘; fit?) +6.2 3 PM wt kl £0ch (”9% ”(6 ‘ju(67=:3 3 Kim? 5“ "5' (V-a’2#+¥¢$x2x§ +c“¢~(- 7K§“2*'*LZLC¢12,¢) 60‘ch(0): =‘V-f-ZK‘ ‘(35 ("7 7,942.1 —. \‘ 5&2? )4— 0,2) “0—) 2 M 135;de x—ZWZX— \Sv? 2x7 9/18/09 1:20 PM MATLAB Command Window 1 of l A >> roots([1 2 5]) ans = -1 0000 + 2.00001 —1 0000 — 2.00001 >> A=[l O;_1 2]; >> F=[‘.2;O]; >> K=A\F K = ‘0 2000 ‘0 1000 . . to) x -2. >> :3. ‘:;a‘( ‘u: ‘l’l‘dfi f1ICQ) ~ E; "~‘! :3 >> (5L6: 6%(Kta0'2x 4%, SIM 2*) :: LU”: 1.: ‘<‘ :: ‘A(C(O):~2: ‘K‘ TZKL ,~’>> >> A=[1 0;-l 2]; >> F=[3;-2]; >> K=A\F K : 3.0000 0.5000 -t 21)u(+\ >> 2164 : C? ( ES (3‘3 25‘ .F i; E;lflr ' -.-. +3“ ‘ t 3 ’18 LSH‘U’) “(19 - (0.5 c ts&2¢)u(+) +8 (3‘. 2n :- C’t(3an 21+ $fi2t)aC+) “N...” M M.— < ,w 7 51 2. :03 6+ 771/07: 54+) ya»): 3 time/o 1 W a“ _) 5+73'H07:a(+) Us“ 0(:((S A 30, 524/75+10;o —5 -2. -1 we 3”” = K.€ ‘Hée B u 5 k3 g1: /0K3 ;/ ’9 kg 1 0/ { 5 5/ k g’ A and 0 4.65 ya>=a= K; ”a *0" ’j ‘ ‘5“! [g 446'“ 6/0)“) > ~5Z, ~24, «5% -u a”: (omfle ~0,/££76 4—,!)(40) 9?. ad! 3 -’ £12: 4% -51 6 =‘- '36 +é6'2 )a(~l) fx 9/18/09 1:36 PM MATLAB Command Window 1 of 1 >> roots([1 7 10]) —5 —2 >> A=[l 17—5 -2],' >> F=[-.l;0]; >> K=A\F K = 0.0667 -O.1667 ‘ >> 3. fink g“ witL fl“) : 3 a}; th/o >> m 56 '26 >> 6c == K. 6 + IQ e : 153(0)? 3 ‘5 K. +413” : t Z: “:2 - 5 K\ "' 7— KL >> A=[1 l;—5 —2]; >> F=[3;10]; >> K=A\F K = -5.3333 ' * 8.3333 'gé Z (f - (—535336 +8 3332 C 3"» 5 >> j” if - t at o " 6- - (a—L65+.J-€ )UU‘) ~ 3 as an —- 3 {MW 4— (-5.3332»: +2333“ ~24" -— «n c“ + 2,” 6 )um ‘5 3 ll ? 2.10 A i+loé+2§j=gaq ma. yahb’édjébzé 1 if“! ‘7‘ 4 j—F/Oy. + 23}.- um ML 0 :39; A. 50,, 51+“): +~r 29.20 ~55 “5 75' (1‘)“ f e (/4 {'4‘KL) [3‘ yUfz K3 _L 25K3=| '9 K3323’ 5“ = {“01 £444) + 5? C guy ,5 fig will 04195 guL/IDI‘L :2.- [(2, 4é-S’ lo 9/18/09 1:51 PM MATLAB Command Window 1 of 1 >> roots([1 10 25]) ans = -5 -5 >> A=[O l;l -5]; >> F=[-1/25;O]; >> K=A\F :: 3. FM gk amt yin»; % yam >> :: (at: = 667/4 “"0 >> gc‘c(o)>5 : KL. >> >> 5m» = e = «5112+ 14 >> >> >> >> >> A=[O l;l -5]; >> F=[5;6]; >> K=A\F >> 4.. w _.__,..._..__w... 4-.-“. +4- —-~+-W —-»4- HM— -.._...M......._m-..¢... fl... ..._ F... Arpuw "W. L , // /‘ 2./0 X: ‘7“,4é7 f /?72 565) [7(0): 3 j(°)=0 .1. SJ 5/“ ”346+”? 22m max am; ,4. ya” sflégwozo -3tj 6"”(k, amt 4 (a, 5:» e) 8% "' 3 yuf=K3 [0K 2/ '5 Z; : (1! a“ 2 6-3?1‘ 4014-51946) 41“ 0., 07. (a) 1 Fund IE "+Qoa' +5Vaoj :93” (“Z/”“4?” (9364).. $300 '3 9.“ 51(0) =0 H A £226: 1% mat +200 futon 2.5) 325017: g’wéuwéaoo“ -/é0 "“506" "fa-"£61“ ' 7th = K“: *5»: ‘S i? (anehht’SKta ah-H’wt " 4‘0» t41-ch- \b“‘~(k)‘ "l‘aw‘ -qa ,‘ mph: 0 —, ’[60 [4 «Long, K: p.00l7] -o.ou7 JIM, ‘94: néa 0017 e'WA— o 0667 6 ac ’2» q a ‘37") Roars 2:; mfg: *2. K 5““ WQAL‘jaEmW : . wk» :25 K3: 0 00‘} 6%on 3:; 3 l3:((:: :_ ”a K‘ e-uax, go 4,, (“ta/<- Qum v160t6."‘t052« '-" O 1MP)» 0 oase'wo"- 0.0052 ' 014.4004 "I’M—o 06675440”) U C” ’1‘“ — 0 0.953 edict )ul'fl 9/16/07 4:57 PM MATLAB Command Window 1 of 1 W >> p=[1 200 6400]; >> roots(p) ans = —160 -40 >> A=[l l;—16O -40]; >> F=[—5e-3;0]; >> K:A\F K : 0.0017 —0.0067 >> 25.6/6400 ll ans 0.0040 >> A=[1 1; —160 —40]; >> F=[—0.004;0]; >> K=A\F K = 0.0013 —0.0053 >> K, 9766) yam/a3 + m? = 4x10 7““) - “av-136‘» -3 Q 3(4) -— '93:“; O (a) a, 300 i 8’ .1.» ‘ $166 209+: 52.» Igioqs 4- I0 9 —/000d 3’42, ; -looa¢7;l~( K.**Ku\ '3 I9 ‘ -, -'-\S~xtu -: \< ' a!!!» #0000)» 2’ .[ooaé‘fz tiwét’): -100006 (CALL)? 6 ,{ 6‘é0)=300 = —/0000 h + K‘ - “1512 K, [-0.04! ac. = e-Wz—W «M SI 3. g cfin w N i Q. Q; + \ § as. gr m 5.. Q & 3 Ljv‘u: e-/00w f(K. £9 £11) :3qu z p ’45: 2'46)“ ‘3 u é a : 0‘06 (08,43 = 6Klo '5 3 83am» e"°°°"*(z‘e+m +0.94 (03>o = V), +0.04 u 4000a,; ah): = —|0000 610“” (“wane ‘4‘ autofi -loooa K; + I; > a K: “900 ,0.oé gum ~(e‘wawi (vbaajr -—0.06) + 0. 04) “Leg U“)? [640 60”('1507c‘—0.Ms) U + (6”“m’7—wm —a.M) mm] odd-'5 ‘ (e“°“‘(’””””/—aaaa«m)-a.m +0.“) u[4-.w) 9/16/07 5:09 PM MATLAB Command Window 1 of l W >> 6e6/le8 A ll ans 0.0600 >> A=[0 1;1 —10000]; >> F=[—0.06; 0]; >> K=A\F K: —600.0000 —0.06OO >> u ‘ g 6 I7 9 (c) 3+ Iéoomf \0 3 : 4x40 [alfS-ulfi-IDOI» 3(0); " '4‘“? 5(0) = 2m IQ: Rad“ 51+ [@0005 +10¢rw - 81:00): (and k » mm ”3%.. (t3 = e ( gab 4000}, 1' m, m ma 1 + E (-ééoé‘é gméawf 4r 6600454; Aunt) Canal”? 3“) 3 '30“ ‘3 #9000 Kg, _ «0 09s , -0 A Um “‘6’ gnaw“ " 3:300“ +10% = “when (flfid‘t') : 6 [K‘ Clo mj*KpS"n 6000f) IC‘Z‘" \fiu(o): K\ +O~O€=-o (fiul‘f) 5 ’ gooo ‘6— gooofi(ckw 6000f. 4' KySo‘n 6000 (r) —S’ + 6 oooj(-b(300 K 5le 6000f+60a0 KL Mkwt} [juéox’o :_5’ooo K, 4- 55506, K: [—0.04 0.08 g0“ :[e-S’DOOA’(_°‘OLI {09100923- 0.0/5”? 509‘?) 4 6—way (-gflz ca 6006 - 0.425.4’Aooaé) *— 0.54)] “(+5 ( 3‘ 3°” (””(wqg a» (gwoa-m)- 0.46 964M 6300/» 7} 0,05 ) dab-”6.601) " 9/16/07 5:30 PM MATLAB Command Window 1 of l W >> p=[l 16000 le8]; >> roots(p) ans 1.0e+003 * -8.0000 + 6.0000i —8.0000 — 6.0000i >> A=[1 0;—8000 6000]; >> F=[—45e—3;300]; >> K=A\F K: ~0.0450 —0.0lOO >> 6e6/le8 ans 0.0600 >> A=[l O;—8000 6000]; >> F=[—0.06;O]; >> K=A\F K : —0.06OO —0.0800 >> 17:74,; Mié‘w 2 g . y {3? 542wczr+ggwg :o k ‘5 -/600 Q , '6 \i 4‘.” H); K e “0"sz a: 6 “(my)“ ‘6 'V 2 (”Luv \2 g 9‘55”“) ’ O ‘ -' ”’00; 6 “-1002" %‘E 3%th- —)660\4Lg ‘ H00 6 (:8 jL‘Cfl(03'( o "{600 K‘ ungag‘p O O ‘jnuéh - K. 6 (LC Lag“: K3 "") é‘ijdq t3 5 [3.2Klo ’6 :0 03 Wm: \< e"‘°”+6€"*°°” 003 u Ln: 0 : Kara +0‘03 '5‘ n : —lLoo 126’ “’0” 4—100 6"“ ~ , {301m —.. .. who :1; "too K2, K: 0‘0' *00" -"MOJ‘ (dub?) =(0‘ 0! 9%.“:— 0. 0'4 9 + 0~ 03>u1fi - — 4001‘ “OWL 6,04 6 ’r 0.03) may ’ ‘ "' ‘1 I) ,. ((9.016 'woa’ozooqe 4““ 0.1—0.3) unOI) 9/16/07 5:46 PM MATLAB Command Window 1 of 1 W >> p=[1 2000 64e4]; >> roots(p) ans = -l600 —400 >> A=[l l;—1600 -400]; >> F=[0;0]; >> K=A\F K: >> 19.283/64e4 ans 0.0300 >> A=[l 1;—1600 —400]; >> F=[—0.03;0]; >> K=A\F K = 0.0100 ~0.0400 >> 32 Ch) fix ,. H .V .M. ”.4” .,A_‘.-‘M.A~ .4”. “W.“ ..‘,..H«. .W-.w.v. “aunml 1 2! 3+ may + #10240; 1/on 3(um- «65' 0a)) 3 (07 0 (E) (0)= éK g¢¢IO7=O=~KL f .1000; 35‘ ’ ~2.ooo 6,2000 (K.¢'*¥av\+ 6 1“ L5 c8»; 447 Kt “2000 KL -2000)? (do: céqt 6 L3!) (Lu/fl 0 LICAIS> Z. -2900; A. my 6 (news 1?. ($0; -.: K3 gym“ {4, :1 102*! Mo a la}: ans-'6 L“: 3’1”“ K‘e4—(ZL) 1— 0,0251 - :0 .‘dué‘fi ‘ KL “$32,“ -—2C>cx31 = “7.004 e (KHKD + 5 /<. a», 9“ (D): 0: “1000 kz+K -2000] fluke) 3 e (5! 7,6 ,025’53 + 00er 5/!) : flaw—2W“r 0‘) at? ZMMFéLz 1 3023) +0951)“, -6 -2000 Cf «002)(‘5l'2 (t—dfloz) _ ,ah—om>m.o&>Z)M—.W) 27/ 9/18/09 2:29 PM MATLAB Command Window 1 of l ,_‘ >> roots([1 4000 4e6]) ans = l.Oe+003 * -2.0000 —2.0000 >> A=[O 1;l —2000]; >> F=[0;64]; >> K=A\F K: 64 >> F=[-0.0256;O]; >> K=A\F K = —51.2ooo " ~0.0256 >> ,23 Q (1:) 5+9& *gj : 3 /a[+)» “(‘39) jZo):l 3(6):! mm (Mm 52+ 25+§Ld -/ 17 [W41 7m: 6%7/ K ”WV" (7WD (M=/ = K, (an; UV): “6% (/6. 04/. IAN/2i 14/4 su‘/. W431.) 4 7L 5'f(“/-4//'fi/<5m [‘7/72/+/“//‘/213(¢;No/) 3.1156(0)?) : * }+/,‘7’f‘/L/(L K“ / ’LH/fl/b a H) = E't (cw/#1101“ /. say; 5,» Min/2 f) ”W/KM )éfl/W/VW alféljybg 9301+) (an («Hm g””/ < an AWL/hwy; rm Awe/2f) ”New? ”(J MS! 91:“ 3/53 (/2 (4 44(ng /. W421) WM: (Wm , u (o):- \<\ +‘: :0 Ljubév ., -e“t/K‘4w/£<{MM + ECng/A/(L/zi> +€VL {’WW‘Q ‘Qfim'fiwu/wk /. WV; Away/M) judo}; 'K 5‘ “qutp 3’0 ~ 7—1 ' K 1:0,7o7i3 («1'6 (6% (“On Mun J —o,7o7z Sir} I. 11/12:!) H) Mr! (jHfi: ( g'fl/w gLWVaj +,/. W412 Sin/$71421) +64” C , w MIL/2x —a~70715m/~‘/"(&'~*/‘ 4" )“M {6‘ (”3 ( — WW; (M) «0.7msm'/mvz//=’>3)+/>X WM) 9/16/07 6:26 PM MATLAB Command Window 1 of 1 ===;============================================================================================= >> p=[1 2 3]; >> roots(p) ans = -l.0000 + 1.4142i —l.0000 — 1.4142i >> A=[1 0;—1 1.4142]; >> F=[1;1]; >> K=A\F K: 1.0000 1.4142 >> A=[1 0;-1 1.4142]; >> F=[—1;O]; >> K=A\F K: —l.0000 —O.7071 >> ...
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