List the vertices in R² of the convex region defined by Ax ≤ b and x ≥ 0 where [₂] 5 8 A = and b = (A) (2,3), (½, ½), (2,0), (0,0), (0, 3) (D) (2, 3), (½, ½), (2,0), (0,0), (0,4) (G) (3, 2), (½, ²), (2,0), (0,0), (0,4) (B) (3,2), (½, ½), (2,0), (0,0), (0, 3) (C) (2,3), (½, ½), (2,0), (0,0), (0, 4) (E) (2,3), (½, ½), (2,0), (0,0),(0,3) (F) (3,2), (½, ½), (2,0), (0,0), (0, 3) (H) (3,2), (3, 3), (2,0), (0, 0), (0,4)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 68E: Show that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if...
Question
List the vertices in R² of the convex region defined by Ax ≤ b and x ≥
A =
1
2
and b =
2
5
(A) (2,3), (½, ²), (2,0), (0,0), (0,3)
(D) (2,3), ( ½, ³), (2,0), (0,0), (0,4)
(G) (3,2), (½, ²), (2,0), (0,0), (0,4)
where
(B) (3,2), (½, ½), (2,0), (0, 0), (0,3)
(E) (2,3), (½, ½), (2,0), (0, 0), (0, 3)
(H) (3,2), (½, ½), (2,0), (0, 0), (0, 4)
(C) (2,3), (2, 2), (2,0), (0,0), (0, 4)
(F) (3,2), (3, 1), (2,0), (0,0), (0, 3)
Transcribed Image Text:List the vertices in R² of the convex region defined by Ax ≤ b and x ≥ A = 1 2 and b = 2 5 (A) (2,3), (½, ²), (2,0), (0,0), (0,3) (D) (2,3), ( ½, ³), (2,0), (0,0), (0,4) (G) (3,2), (½, ²), (2,0), (0,0), (0,4) where (B) (3,2), (½, ½), (2,0), (0, 0), (0,3) (E) (2,3), (½, ½), (2,0), (0, 0), (0, 3) (H) (3,2), (½, ½), (2,0), (0, 0), (0, 4) (C) (2,3), (2, 2), (2,0), (0,0), (0, 4) (F) (3,2), (3, 1), (2,0), (0,0), (0, 3)
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