Unformatted text preview: EXERCISES 3.3 37 (e) If we convert the augmented matrix back to a system of equations, the result is ll GEEl
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53mm The system has a unique solution a: = 2, y = 5.
(f) If we convert the augmented matrix back to a system of equations, the result is $25,
y=_1
0:2. The last of these is impossible. The system has no solutions.
(g) If we convert the augmented matrix back to a system of equations, the result is m+2z=1,
y+5z=3. The system has an inﬁnity of solutions. They can be expressed in the form :1: = 1 ._. 22:,
32' = 3  63. where z is arbitrary. (h) If we convert the augmented matrix back to a system of equations, the result is $+22=1,
y+6z=~2,
0:0. The system has an inﬁnity of solutions. They can be expressed in the form x = 1  22:,
y = “2 — 62:, where z is arbitrary. (i) If we convert the augmented matrix back to a system of equations, the result is m+2y+3z=3,n
0:0. The system has an inﬁnity of solutions. They can be expressed in the form :1: = 3 — 2y — 32:, where y and z are arbitrary. (j) If we convert the augmented matrix back to a system of equations, the result is :1:+2z=1,
9:3.
0:1,
0:0. The third of these is impossible. The system has no solutions. '11.?“ "ﬂeas“ I...“ Lm'mma..ma :n swam mm. Miaink: lam imam 1 Manama, «Fumhnha Mam Tami.» rmrnﬂndim :n ma run:11 R." is eln'nlu nmtnikirad ...
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 Fall '11
 Dr.Cornell
 Math

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