# Sp97Ex1sol - Efﬁe“: t 3:? an m raj-EH? EGN 342i]...

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Unformatted text preview: Efﬁe“: t 3:? an m raj-EH? EGN 342i] QH-l-E— Name é? Consider the following system of equations: 3)) y + w + x + 2y = 4 u + y + w + x - y - I = 2 2n - 3w + s + a = 3 -u + 2w + x + y - z = 1 u _ 1.? - 2-2 = i} A} Transfonn the augmented matrix {A | 1}} into its Echelon Form by performing a sequence of elementary row operations. Without solving for the general solution, determine if a can be chosen arbitrarily. Repeat for x and y. B] Start with the Echelon Form and use haek substitution to find the general solution expressed in terms of one or more ahitrary unknowns. 1 1 1 1 —1 —1 E 2 {i 1 1 l 2 II} 4 2 l] 3 l l} 1 : 3 -1 l] 2 1 l -l 3 1 1 -1 o o o .2 E 0 Original Augmented Matrix Eehelon Form a {is}, [is not] arbitrary heeause a {is}, {is not) arbitrary heeause y {is}, {is not} arbitrary because solution: ll I1 rut-saga: || Uri-'be 11 'I'LY =..‘+ u+v+w +J< — ‘f -=:».=?_ 1L2 —5L-’ +]( 1-3 :3 -m «PILL-J +f- +~f -11 1-1 “1-” ~13, 2C3 I I I I -l -I 1 I I I I “i' “" c: I 1 I 1. <3 “I D I l' I 1 a 3' h! #3 a I l 5' -I I; N ‘9 ‘9 l I I: I: G -I‘ a—I'L C) -13 a c; I: 1 IL CI (9 II: D ‘f 1:] c) LE .3 J G E? ‘13 (J u u u: 1: w 3: I "L 1L "I *1 *I Z. (a a no I, I. 5 '1 (a a I: O I 'IL I: \‘5 a I: I:- D 1 a I ‘1} mam ‘01 mug-ng 3m“; 4m: Ii: \$.41 up»: Inch a? a; n¢n51n£§dkw whiff—“i aI 1| '2. __ -K din ‘II 5' GI: G 'I '1"- D t ‘i I c, a : ‘ a ‘1. t -' 1 c and! ‘l ‘3 ﬁﬁk— C‘Lfbv‘xﬁ'ﬂrx D I: D I c: D c. O O '21:? T: 51:31: x‘r ‘!~ 15 Lerkmr3i CHELV- WE di’h—Erﬁxnﬂxnﬁ" '5’ 1 I L c: D D I‘ll S I F -- 1:. C! a "D X ‘5 “my athx‘krc‘p ‘3' H. c: j Ganua‘t 3.9. n . ‘i=t *‘EHLﬁ 1‘15 1;) \$1.1. w+\$+5‘[-qz1(0 r} “2% ‘LL \J-k-‘HJ' *Hikarlxi—fuk =3 vixﬁa 1'1... Lia-Var»; F _ t-‘f-M~‘~h—#ZJ-ﬁ') uzmlsf} 1 Li” H- ...
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## This note was uploaded on 06/09/2011 for the course EGM 4320 taught by Professor Klee during the Spring '11 term at University of Central Florida.

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Sp97Ex1sol - Efﬁe“: t 3:? an m raj-EH? EGN 342i]...

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