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Consider the convex set given by 2 x1 + 3x₂ ≤ 22 5x1 + 2x₂ ≥ 12 21 ≥ 0,2₂ ≥ 0 (a) Introduce a slack variable 3 ≥0 to convert the first inequality to an equation. The way to write #₁ in Mobius is x[1] (b) Introduce a slack variable #4 ≥ 0 to convert the second inequality to an equation. (c) Enter the 2x5 augmented matrix that comes from your answers to (a) and (b), with pivots in the third and fourth columns To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want. Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can. sin (a) P ?х 4 8 R a Ω

Consider the convex set given by 2 x1 + 3x₂ ≤ 22 5x1 + 2x₂ ≥ 12 21 ≥ 0,2₂ ≥ 0 (a) Introduce a slack variable 3 ≥0 to convert the first inequality to an equation. The way to write #₁ in Mobius is x[1] (b) Introduce a slack variable #4 ≥ 0 to convert the second inequality to an equation. (c) Enter the 2x5 augmented matrix that comes from your answers to (a) and (b), with pivots in the third and fourth columns To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want. Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can. sin (a) P ?х 4 8 R a Ω

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 3CEXP
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Consider the convex set given by 2x1 + 3x₂ ≤ 22 521 +22₂ ≥ 12 21 ≥ 0,22 ≥ 0 (a) Introduce a slack variable 30 to convert the first inequality to an equation. The way to write in Mobius is x[1] (b) Introduce a slack variable 4 ≥ 0 to convert the second inequality to an equation. (c) Enter the 2x5 augmented matrix that comes from your answers to (a) and (b), with pivots in the third and fourth columns To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want. Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can. ab sin (a) f ?х a s P (d) Find a basic solution that is not feasible. It should have four components, for #1, #2, #3,#4. (e) Find a feasible basic solution. It should have four components, for #1, #2, #3,#4. AY 8
Transcribed Image Text:Consider the convex set given by 2x1 + 3x₂ ≤ 22 521 +22₂ ≥ 12 21 ≥ 0,22 ≥ 0 (a) Introduce a slack variable 30 to convert the first inequality to an equation. The way to write in Mobius is x[1] (b) Introduce a slack variable 4 ≥ 0 to convert the second inequality to an equation. (c) Enter the 2x5 augmented matrix that comes from your answers to (a) and (b), with pivots in the third and fourth columns To enter a matrix click on the 3x3 grid of squares below. Next select the exact size of the matrix you want. Then change the entries in the matrix to the entries of your answer. If you need to start over then click on the trash can. ab sin (a) f ?х a s P (d) Find a basic solution that is not feasible. It should have four components, for #1, #2, #3,#4. (e) Find a feasible basic solution. It should have four components, for #1, #2, #3,#4. AY 8
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