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Applied Finite Mathematics HW Solutions 39

# Applied Finite Mathematics HW Solutions 39 - EXERCISES 3.3...

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Unformatted text preview: EXERCISES 3.3 37 (e) If we convert the augmented matrix back to a system of equations, the result is ll GEE-l 11 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. Mia-ink: lam imam 1 Manama, «Fumhnha Mam Tami.» rmrnﬂndim :n ma run-:11 R." is eln'nlu nmtnikirad ...
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