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Applied Finite Mathematics HW Solutions 77

# Applied Finite Mathematics HW Solutions 77 - EXERCISES 3.7...

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Unformatted text preview: EXERCISES 3.7 _' _ 75 b1 1 -1 4 -2 1 0 0 0 Rl—ng—I—Rl 1 0 6 —4 2 1 -1 0 012—211—111 601241140 - 0 3 ‘12 5 _2 0 1 0 R3—1-3Rg+R3 0 0 «18 11 —5 *3 4 0 _ 0 7 422 3 __4 0 0 1 R4—»_7R2+R4 0 0 436 22 —11 -7 7 1 R442R3+R4 1 0 6 —-4 2 1 #1 D 0 1 2 -—2 1 1 -1 D D 0 -—18 11 “5 —3 4 D D 0 D 0- -—1 -1 -—1 1 Since the inverse matrix does not exist, we consider the augmented matrix. 144417 1—14-27 —3 1 3 Rg—ruR1+Re “10 3 #4 R2—**R3+R2 ——1 1 3 D 4 2 1 —4 1 1 R3 4 “2R1 +123 F’ 0 3 -12 5 113 4 3' #6 D 11 R4 —1 “4121 +124 0 7 —22 8 —-17 1 —1 4 m2 7 RLHRQ+RI' 1 0 6 -4 16 __'} (0 1 2 —-2 9 __} U 1 2 --2 9 D 3 -—12 5 #13 R3—1—3R/2+& D D —18 11 “40 0 7 -22 8 -17 124—13-7122-1-1211 ﬂ 0 #36 22 -—80 R442R3+R4 1 U 6. "-4 16 l U 6 ——4 16 R1 —5 “6R3 + R1 ._1(0 1 2 -2 9 ' _* D 1 2 -—2- 9 R2—1m2R3—I—RQ - D 0 v18 11 r40 R3 —1 413/18 0 D 1 —11/18 20/9 0 0 D D 0 - U 0 0 0 0 ' 1 0 0 —1/3 3/3 D 1 0 "7/9 41/9 "’ 0 o 1 41/13 20/3 0 D D .0 U _ When we convert this augmented matrix to an equivalent system of equations, we obtain 11: ._ 8 SC“- ‘3- -— 3-, 711: ﬁ 41 y "- _g'_ _“ 3: 11w # 20 z " F " 3 1 —-1 2 2 1 -—3 3 --2 1 Rae—3R1+R3 0 1 "5 43 0 1 R3 __ . 1 ml 2 1 o o R1—>R¢+R1 1 o #3 42 0 1 ' -—»'o1—5-301 F10_1-5u301 ' o 3 -7 42 1 0 Rg—rr3R24-R3 0 0 s 7 1 —3 Ra—rR3/8 .. .. .-._.___-_.__ _n:_..:4..1... DEAL...“ “tﬂkprwvhlﬁﬁm in mm or in ﬁjll. is strictlv Drohibiled. ...
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