5. Which of the following sets S are polyhedra? If possible, express S in the form S = {x | Ax 3 b, Fx = g}. (a) S= {x € R" | x = 0, 1"x = 1, E-1 T;a; = b1, 1 T;a? = b2}, where a1, ..., a, e R and b1, b2 E R. (b) S = {r € R" | x > 0, x™y < 1 for all y with ||y||2 = 1}. (c) S = {x € R" | x > 0, x™y < 1 for all y with E \y| = 1}.
5. Which of the following sets S are polyhedra? If possible, express S in the form S = {x | Ax 3 b, Fx = g}. (a) S= {x € R" | x = 0, 1"x = 1, E-1 T;a; = b1, 1 T;a? = b2}, where a1, ..., a, e R and b1, b2 E R. (b) S = {r € R" | x > 0, x™y < 1 for all y with ||y||2 = 1}. (c) S = {x € R" | x > 0, x™y < 1 for all y with E \y| = 1}.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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