List the vertices in R³ of the convex region defined by Ax ≤ b and x ≥ 0 where [2 1- A = 3 1 3 -2 and b = 1 1 3 6 (A) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1,2,3), (3,0,¹) (B) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 4), (1,0,0), (1,2,3), (3,0,¹),(0,3,2) (C) (0,0,0), (0, 0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1, 1,3), (3,0,¹),(0,3,2) (D) (0,0,0), (0, 0,6), (0, 1,0), (1,0,0), (1,2,3), (1,0,¹),(0,3,3) (E) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 3), (1,0,0), (1, 1,3), (7,0,¹),(0,3,2) (F) (0,0,0), (0,0,6), (0, 1,0), (0,2,4), (1.0), (1,2,3), (7,0,¹) (G) (0,0,0), (0, 0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1,2,3), (3,0,¹),(0,3,3) (H) (0,0,0), (0,0,6), (0, 1,0), (1,0,0), (1,2,3), (3,0,),(0,3,2)
List the vertices in R³ of the convex region defined by Ax ≤ b and x ≥ 0 where [2 1- A = 3 1 3 -2 and b = 1 1 3 6 (A) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1,2,3), (3,0,¹) (B) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 4), (1,0,0), (1,2,3), (3,0,¹),(0,3,2) (C) (0,0,0), (0, 0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1, 1,3), (3,0,¹),(0,3,2) (D) (0,0,0), (0, 0,6), (0, 1,0), (1,0,0), (1,2,3), (1,0,¹),(0,3,3) (E) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 3), (1,0,0), (1, 1,3), (7,0,¹),(0,3,2) (F) (0,0,0), (0,0,6), (0, 1,0), (0,2,4), (1.0), (1,2,3), (7,0,¹) (G) (0,0,0), (0, 0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1,2,3), (3,0,¹),(0,3,3) (H) (0,0,0), (0,0,6), (0, 1,0), (1,0,0), (1,2,3), (3,0,),(0,3,2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:List the vertices in R³ of the convex region defined by Ax ≤ b and x ≥ 0 where
[2 1-
3
1 1
A = 3
1
-2 and b =
3
6
(A) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1,2,3), (3,0,¹)
(B) (0,0,0), (0,0,6), (0, 1,0), (0, 2,4), (1,0,0), (1,2,3), (3,0,¹),(0,3,2)
(C) (0,0,0), (0, 0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1, 1,3), (7,0,¹),(0,3,2)
(D) (0,0,0), (0,0,6), (0, 1,0), (1,0,0), (1,2,3), (1,0,¹),(0,3,3)
(E) (0,0,0), (0,0,6), (0, 1,0), (0, 2, 3), (1,0,0), (1, 1,3), (7,0,¹),(0,3,2)
(F) (0,0,0), (0,0,6), (0, 1,0), (0,2,4), (1.0), (1,2,3), (7,0,¹)
(G) (0,0,0), (0, 0,6), (0, 1,0), (0, 2, 1), (1,0,0), (1,2,3), (3,0,¹),(0,3,3)
(H) (0,0,0), (0,0,6), (0, 1,0), (1,0,0), (1,2,3), (3,0,),(0,3,2)
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