Use Fourier-Motzkin elimination to give a linear combination of the following in- equalities that proves that there is no (r, y, z) satisfying all four inequalities. (a) (b) (c) (d) -x - y – 2z < -1 I-y -z -2 -r+y - z <-1 y + 3z <0

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Use Fourier-Motzkin elimination to give a linear combination of the following in-
equalities that proves that there is no (x, y, z) satisfying all four inequalities.
(a)
(b)
(c)
(d)
-x - y – 2z < -1
I- y - z < -2
-z +y - z < -1
y +3: <0
Transcribed Image Text:Use Fourier-Motzkin elimination to give a linear combination of the following in- equalities that proves that there is no (x, y, z) satisfying all four inequalities. (a) (b) (c) (d) -x - y – 2z < -1 I- y - z < -2 -z +y - z < -1 y +3: <0
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