Transfer the set of inequalities and equations -3 ≤ ₁ ≤ 13 -8≤ x₂ ≤-6 14x3 = 13x₁ +7 into the form Az < b with a = I2 I3 I

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transfer the set of inequalities and equations
-3 ≤ ₁ ≤ 13
-8 ≤ x₂ ≤-6
14x313x₁ +7
into the form A < b with =
Hint: Go inequality-by-inequality, equation-by-equation, starting with the regular right-hand sides, and then switching the left-hand sides. The order matters!
A =
6 =
-1
0
0
1
0
0
3
8
7
13
-6
-7
0
-1
..
0
0
1
0
0
0
14
0
0
I₂
23
-14
0
0
-13
0
0
13
Transcribed Image Text:Transfer the set of inequalities and equations -3 ≤ ₁ ≤ 13 -8 ≤ x₂ ≤-6 14x313x₁ +7 into the form A < b with = Hint: Go inequality-by-inequality, equation-by-equation, starting with the regular right-hand sides, and then switching the left-hand sides. The order matters! A = 6 = -1 0 0 1 0 0 3 8 7 13 -6 -7 0 -1 .. 0 0 1 0 0 0 14 0 0 I₂ 23 -14 0 0 -13 0 0 13
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