How can I derive my Lagrange Function (handwritten) into the form from the other screenshot? Parameter: c = [-5, -3] A = [[2, 2], [2, -4], [-2, 1], [0, -1], [0, 1]] b = [33, 8, 5, -1, 8] 2(x, 2) =бlix, 2)бх5x - 3x2 + 2 (2х, +2x2-33) +х2 (2x,-их2-8)X4(-X₂ + 1)=5x+8+2з 1-2X, + Хz2-5)25(72:8)2 дит.24](-332-872 - 523 + ди8жеихл523 ][8xg)(−5+22₁ +22₂ -273)хе 1-3+221-их 2+23-24)-8ks]33]2.72.изхи=0 Example: Linear ProgrammingTherefore, the dual Lagrangian is D(A) = -A¹b. Recall we would liketo maximize (X). In addition to the constraint due to the derivative ofL(x, A) being zero, we also have the fact that X > 0, resulting in thefollowing dual optimization problem80 von 84- bTxmaxXER™subject to c+A¹A=0A > 0.(7.43)

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How can I derive my Lagrange Function (handwritten) into the form from the other screenshot? Parameter: c = [-5, -3] A = [[2, 2], [2, -4], [-2, 1], [0, -1], [0, 1]] b = [33, 8, 5, -1, 8]

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.4: Applications Of Eigenvalues And Eigenvectors

Problem 69E: Use your schools library, the Internet, or some other reference source to find the real-life...

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Question

How can I derive my Lagrange Function (handwritten) into the form from the other screenshot?

Parameter: c = [-5, -3] A = [[2, 2], [2, -4], [-2, 1], [0, -1], [0, 1]] b = [33, 8, 5, -1, 8]

2(x, 2) =
бlix, 2)
бх
5x - 3x2 + 2 (2х, +2x2-33) +
х2 (2x,-их2-8)
X4
(-X₂ + 1)
=
5x
+
8+
2з 1-2X, + Хz2-5)
25
(72:8)
2 дит.24]
(-332-872 - 523 + ди
8же
ихл
523 ]
[
8xg)
(−5+22₁ +22₂ -273)
хе 1-3+221-их 2+23-24)
-8ks]
33]
2.72.
из
хи
=0

Example: Linear Programming
Therefore, the dual Lagrangian is D(A) = -A¹b. Recall we would like
to maximize (X). In addition to the constraint due to the derivative of
L(x, A) being zero, we also have the fact that X > 0, resulting in the
following dual optimization problem
80 von 84
- bTx
max
XER™
subject to c+A¹A=0
A > 0.
(7.43)

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