Test1Solution

# Test1Solution - -~_——_i Scrum/w Fm"rem AM 10/13...

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Unformatted text preview: ./ -~_——_i. Scrum/w Fm "rem AM 10/13 Peer/won. , ‘l. (3) Give the augmented matrix corresponding to the system: ' 3m+3y+7z = 13 a 3 7 (3 l 2: + y + 2z 2 4 Augmented matrix 2 i I 2 4, / /] :11? + 42} 7178:: : 16 4. 2,1. g‘ [6 I (1)) Reduce the matrik A to row echelon form using Gar ssjgui Elimination. Each olementary\ / ._ ‘ I v operation should be clearly described. \ m owlk v‘ 3U» Ii H.91jl"(\“7¢ '7) "1) l i 2— 4 , ’ /RL“3RI 0 O l 1 row EGAelon-Jebﬂ'h ‘/(\7%-4R1 o o O o I. y‘i'l‘LLr"\-<. I (7 girlg'rkl‘Cd-fan a. l o '1 i. h['ll\l(,_u\1 Lli L3 \/\ \ VA 9.2;" K’U’Y' \AL} N\§-k‘-’I'\\ (c) Use the result of (b) to solve the system writing the answer in the form x0 +t1v1 + + trv,r for suitable vectors K“, v], VT- and parameters t1, ..., t.,. ’X ‘l’ 3 'f' RE i 4, / \ V'r‘xuV-rlu Twp L Vl/\(}\.-"li. lint“ E — I \ \“V'KQJ‘J‘ \lﬁu'r‘ V \_ rumor lg p 1% www‘lc l’gv ‘V 3. 4,2 H = 2,—3’; (flex 3 t \/ ' l :r l *0 {I l i0 / 6! GT \' Emu ‘e-Jvﬂgs 5&1“- '[I'pmpﬁifcgk tlxej smug, 3x,L\§l X 2 _.} 3 z 0 'l’ {f l («U W Ll IS 0: (bub/52g "-l- “\EMK. 2 t o ((1) Describe the solution geometrically the words point, line or plane). / ,m VOGJWM I? a M Harms/l) [2,0, 0 M4 4N olnrez/hon (A) no). i .- l \ drug will) \ \H'Qkfj'lr' [C Ml “ \l r) '5 - v- .-]< k - ' “l " \ VVVJ‘ "1 " 7-H“ Cl \WUL 'l \ﬂ‘n 2. Consider the circuit shown in the Figure below: ‘IOV 30V _ ~ 15 C 200 3 Commas-t5 @ Some me Me V: 2- .L , I mark w, Fill in the 4 missing equations in Tables 1 and 2 below: Table 1. Node Current In Current Out A I] Table 2. Loop Voltage Rises Voltage Drops to \/ 519/ Loop2 I; \/ — \/ Loop 1 ® I marl? fur ecu/A carry/1L term . Total :3 H. @ Ll: VDI'mﬂe H533 MOl Vol-mag dlrof); are sw'i'hiiwl, low’r om (mama com/(Jr €ﬂL,(/Lﬂ)bl0'h,- l Maul-z wt be guLhewlal ivromLmqt 7:37. kan Pea-12 (all +dll) (012 +512) ~ . . ~ (“21 +521) (022 +522) ' ' :AZ {nm1+ firm) (unaz + 5m?) amt 047112 aml am? I "a p€gnsiderj m x 2 matrices undel the usual matrix addition ( cation ‘ ' ' kaml kam‘Z ) an scalar multipli— Giviug a reason for each step Show that (C’ LH§= GHOUA '4 I X [ac/ml}, ‘; SifuJ/f‘w -'/ 2,, Pints 5 VWMS X 3:91“ 4. Consider the matrix C' : L I " ‘_ 7| . V ,. d C (:27) «m c -o (3) Find the inverse of if possible. and also the row echelon form'bf C. i j. K ) 1| ,| Lozlo 0 'i. «i . (5 l O O l o l/ x“ C (‘Mtiyk E W 3 Hers) {Jaw REF (“O/1%”; ii" i i o A o 0 ./ .2. [2' k 7" ii: saws" xwwM‘UH‘j Wi‘ﬂiwﬁr 0 l O o \ O NlﬁQHMCﬂ I'M 4 (11‘ 6:930“in o l ﬁ 0 0 l O x I o \ I 1 J" 0 a ref-(C) ‘ 0 IO ('5ng 0 i o 0 l 0 .go o o lo R342; 0 o g> '" ‘ “A “'39 5r o<rlf=>v=¢0 / i o i it 0 O VIN Wuhan? Cqumbﬁo 0 _ 0 l o \ 0 Lu J— UL“ -: d 6?“) p"; O "lé‘E3 O 0" ‘ O f. F " its“; F». 0’! o .g: .L ‘J—' 30 p\$o ‘ A A I [0 i 0 i \ 0 Pi c: V kg -! ~— L P P] 0 o k 0 “i A? C E: .L i; j P 5. Suppose v = (3,4,0), w = (1,0, 1). Answer the following questions. 71 (a)Find[§ (2. Merk\$\ (Jr- . gold. _I_ 3 "‘f Ad: Q3 2_ A .L m ﬂ f (b) Findvxw [1, marks) -\rer‘\o;\.s (-49.35 ’l’o AO 'me C k 3 _ M 3 s 5 = ‘llrgq‘lk ‘ \ 2 0 2 2 2_ t mark . (c)Find 013 3 3 :5 l x 1,,“ 011 4 a allwm"; (d) Suppose F and G are n X n invertible matrices and x and b are n X 1 vectors. Solve the equation F G x = b for x. (1 W'k‘} =9 FAFQ x. 5 Fd‘b (order Mo’tJWS k”t\ lava point: ‘9 IQx, :F'W) (5"F:1\ mahlces 00901 :3 0] IX. :- ,Ib 66"“ “ﬂu-+4 LL ‘3'“"34 :b gagged”? b : ixchlF-lb 5) XZ—C-(F’b > (mark O‘C'FVQFer-avs 0 F no dkg-hlucvl’ln Mark 0?“? for errars (e) Find (108(6) where (9 is the angle between the vectors V and w. ‘5th A ,_> q-‘- C s) v.33 :HUH-IINHCOSQ’Q(1MW1° ‘/ C J b/ :5) C-ogé, L 3“”; : S'l‘f‘l-9+O-\ — i C “5”,11-0 {Zeo‘rl2> a ...
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Test1Solution - -~_——_i Scrum/w Fm"rem AM 10/13...

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