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Applied Finite Mathematics HW Solutions 38

# Applied Finite Mathematics HW Solutions 38 - 31_6 as...

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Unformatted text preview: 31. _6. _ as ' EXERCISES 3.3 - - a+12+G2 +155 a 1 A3 2 AM?) 2 A(a(a(+1)-i-(a +1)a (a a2 2|— (ti—(\$1):- )) _ a+1 a 2a2+2a+1 2a2+2a .. a n+1 262+2a 2a2+2a+1 (a +1)(2s2 + 20. +1) + o.(2o2 + 241) (a +1)(2s2 + 2s) + 3(2a2 + 2a +1) : 4aa+6a2+3a+1 4a3+6¢12+3a 433+6az+3a 4a3+6a2+3a+1 . 2— 2a2 2412 3_ 4&3 4&3 311103 B -- (262 262 ,8nd 3 —- 4&3 433 g 3 2 _ 4a3 4a3 2a? 2a? a a 1 0 3 +33 +3B+I2—(4ﬂ.3 4&3) +3(262 232 +3 G a '1' 0 1 __ 4a3+6a2+3a+1 4a3+6a2+3a H 4a3+6a2+3e 4e3+ﬁoz+3a+1 Thus, A3 =11?2~'3+3132 +SB+I2. EXERCISES 3.3 (a) If we convert the augmented matrix back to a system of equations, the result is 32—3, y=4. This is the solution of the system. (b) If we convert the augmented matrix back to a system of equations, the result is 93=—3, yzO. This is the solution of the system. (c)_ If we convert the augmented matrix back to a system of equations, the result is 9:=—3, 0:1. The second of these is impossible. The system has no solutions. (d) If we convert the augmented matrix back to a system of equations, the result is :c+2z=—3, y=4- The System has an inﬁnity of solutions. They can be expressed in the form \$=—22"31 y —_- 4, where z is arbitrary. . 11s.. mama‘s] l-Ian I‘m mnul'nnml in anon-dam mm. murinhl law 1-“: ﬂu! 'I' Inivmitv ni‘Manil'rdu Rtm'lrcl'm-n Pug-111p: renrwin dim in marl at in full is sirit'ﬂv rmhi'hi'l'ed _ (e(2a2 +2o+ 1) + (11+ 1)(2a2 +243) (1(2412 +2a)+(a+1)(2a2 +2a+1))' _..__.._‘ ...
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