Problem #1: List the vertices in R² of the convex region defined by Ax≤ b and x > 0 where 1 1 1 A = 3 and b = (A) (3, 2), ( ½ . §), (2, 0), (0, 0), (0, 3) (D) (2, 3), ( ½, ½ ), (2, 0), (0, 0), (0, 4) (G) (2, 3), ( ½, ½), (2, 0), (0, 0), (0, 3) (B) (2, 3), (3, 3), (2, 0), (0, 0), (0, 3) (E) (3, 2), (3, 3), (2, 0), (0, 0), (0, 4) (H) (2, 3), ( ¾½, ½), (2, 0), (0, 0), (0, 4) (C) (3, 2), (3, 3), (2, 0), (0, 0), (0, 3) (F) (3, 2), (3, ³), (2, 0), (0, 0), (0, 4)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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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...
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Problem #1: List the vertices in R² of the convex region defined by Ax ≤ b and x ≥ 0 where
1
1
1
A =
3
and b =
(A) (3, 2), ( ½ . §), (2, 0), (0, 0), (0, 3)
(D) (2, 3). ( ½, ½ ), (2, 0), (0, 0), (0, 4)
(G) (2, 3), ( ½, ½), (2, 0), (0, 0), (0, 3)
(B) (2, 3), (3, 3), (2, 0), (0, 0), (0, 3)
(E) (3, 2), (3, 3), (2, 0), (0, 0), (0, 4)
(H) (2, 3), ( ¾½, ½), (2, 0), (0, 0), (0, 4)
(C) (3, 2), (3, 3), (2, 0), (0, 0), (0, 3)
(F) (3, 2), ( ½ , ³ ). (2, 0), (0, 0), (0, 4)
Transcribed Image Text:Problem #1: List the vertices in R² of the convex region defined by Ax ≤ b and x ≥ 0 where 1 1 1 A = 3 and b = (A) (3, 2), ( ½ . §), (2, 0), (0, 0), (0, 3) (D) (2, 3). ( ½, ½ ), (2, 0), (0, 0), (0, 4) (G) (2, 3), ( ½, ½), (2, 0), (0, 0), (0, 3) (B) (2, 3), (3, 3), (2, 0), (0, 0), (0, 3) (E) (3, 2), (3, 3), (2, 0), (0, 0), (0, 4) (H) (2, 3), ( ¾½, ½), (2, 0), (0, 0), (0, 4) (C) (3, 2), (3, 3), (2, 0), (0, 0), (0, 3) (F) (3, 2), ( ½ , ³ ). (2, 0), (0, 0), (0, 4)
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