key prac quiz 1-3

key prac quiz 1-3 - Key for Practice Quiz 1 Sec’rions...

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Unformatted text preview: Key for Practice Quiz 1 Sec’rions 1.1.1.2 MaTh 2373 J — él'ven following system, 2x1-3x226 xl—x2+x3 =4 3x1fix3 =5 Find reduced raw echelon form of the augmented matrix And Then use Gauss-Jordan elfrmharion fa fmd solufion 3 a "I 5 3 O \ S Rd”? 5" 3 3 #11:] a, 3 ’H &\ . C ._.— 31—h?" ‘2. RL-rRi fiRi l O I 2‘ I: - (_)-\tQ\-"Rl | a “$6 . o i A 2- i ‘ 333 3 ———-—-‘-—-> 0 to o C“ i L L. a) -19 ’15 \a 13 . at _ .13 X, __ Xx: T; x" 10 3 l0 2— Salve following system using Gauss-Jordan elmmafion. 37 | “.3 “r7 "I [a +é *“‘ 31:6[3 ,7 ,5 ‘37 2 -6x -14x =38 {X1 2 3 3 7 _37 3xl +7xZ +15X3 = —37 . R2 #3 huh] _ _ [q ... I . 3M Rd—Q’tRHRa I 3 '7 _..‘..(3—-——>r I 3"; .3} 51.1%“ : E:- M 0 H: 311 J“! o 1" i" If“ -3é GM _ X2: (EB ‘ If: '3g, ,‘71‘1 -\<11WX3 fi‘-3( 3 lfi Q . . fl- _ 2 ‘ Key for Practice Quiz 2 Sections 1.3,1_5,2.1,2.2 MaTh 2373 10 012 1-13 IaéWa1A= mMB: :de: 34 ~103 —204 0) Find A. B R~C\ .- 0) (a) + (0)14) : o R. Ca: mm + mm = ‘ R.C5;(i)(z) --\-(u)[3): 2 a \ Z 1MB: La 3 \8’7 b) Find B.A 2x3 2X2 3 \ »\ c) Find 23-6 2 q. ‘ A 3 d] _ 3 o w H 1 O O i ‘ 1 .r2 '0 I 2 _ 2 1" a 3} ‘1 0 L1 213 Qi? e) Flind A+B A + B M9, PoQKCUa 1%: 1X3 2 — Given matrix A is 4X2, 8 is 2X6 and C is 3X4 0) Find Size of the product of CAB C v A s B “:2 3 x g 350% AM. 2.x 5 L.__J an "9—" la b) Find number of multiplications required to find 6048) c AB) c ( M5) £132 1&5 3M AM, HM} 434ml: ‘1‘9 tun—£69“? 3an£=7£ « 60 C A B r 6) find number of multiplications reqw'red to find (CA)B (C R )3 C ) 2x L MA qxz 3"?- 3— GI‘Ven two vectors u : (2,1, —1) and y = (3,4,2) 5m 36 a) -3u+2v ('— 61 ‘3} (El 1".- CO’ 5/ b) u.v (29(3) '1- (001) ‘1' 00(2): 8 c) magnitude of u 2. 2 -_-- H u” r (2) «(SH—1) = \lu d) angle between u and v H) H) g ’8 LL: “‘1' H_________,___. : ._____—-—- 69w: “(in Wu: J?» Jmé ‘5 l” e) Unit vector for vector u " cam—0 _ U’RKLVKQLH “LT: :— .; ’ “(fl Key for Practice Quiz 3 Sections 2324 Mm‘h 2373 2 0 3 J— Eiven mam'x A = 0 4 -2 1 —3 0 a) Fmd Trace of (A) Tr R: (1) 1-0-0 *b’) 3 Q 1 6 l R, 1 0 H “3 3 '2, ° 2 —Find Inverse of the follomhg mam'x using Gauss—Jordan: a) [1—1] y-d \ o 56 560‘ b) Transpose of A t; 1 \ f: .L RZ‘VR\'?R\ l 0 T1- 7? F H H _,——r->~ k : , N I rg ‘ -5 x 0 J Bf \ *. 1 o R\Lv—S)fi31-?R’- ‘ ] HAL—a i l o H "S I D 1—30 *‘30 ‘ “’3'3'4 ‘ o 3 ‘ 0 a 133—- o 3 x 0 ° Rsbg) +R\_,Ru d?- c i o "$.9- [ '3 a ‘ at ____.__————-—"‘?" v I ‘1 l 3 I a c- l 3’ '3; H fishy‘RP’RZ o 0 "‘ n q I? 2— 5 3/ , (g -— l ., I 7 } G k i! i? Z 3 J; I o I L- -; : I .— o ,1! 0i ,T? (7 7 ‘7' “Mafii i417 7 7 q ‘7 3- Give an eximp/e of 0 3X3 symmetric mafrix 1/1 5 :1 6 5/92 4 —.§olve following system of equations by 1151219 The inverse of fin: matrix and the matrix mulhplicaflbn: xi +x2 =4 5x1+2x2 =—1 IVE rm] MA» szb -3’ .4 ‘ I \ b R». [-9) fR 1—)]?2 ‘ l I 0 LA I" E \ ‘ f—S? 0 *2 -5 1 S a 0 _£ 1 RaHhRm—afi. [' 0‘ S3 3‘ a —-.— '3' 3‘ 1.31 . :_3 -—3. J3- i’i [ 3) X\ 3 .; 1‘ z x: E “L " E a 7 3 3 (A2)—l 0 min» I 3 ...
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key prac quiz 1-3 - Key for Practice Quiz 1 Sec’rions...

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