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5.11.1 2.) Which of the following sets is a (geometric) simplex? If the set is a simplex, give it's dimension, and express it as the comex hull of a set of points in general position, using the bracket notation. Imag 2 a.) {(x, 3x) ER² | 0

5.11.1 2.) Which of the following sets is a (geometric) simplex? If the set is a simplex, give it's dimension, and express it as the comex hull of a set of points in general position, using the bracket notation. Imag 2 a.) {(x, 3x) ER² | 0

Advanced Engineering Mathematics
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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5.1 1.1 2.J Which of the following sets is a (geometric) simplex? If the set is a simplex, give it's dimension, and express it as the convex hull of a set of points in general position, using the bracket notation. a) f(x, 3x) ER² | 0<x<1}. b.jd (x, y) = R² 1 0 < x < 1/10 < y ≤ 2}. (₁) {(x, 3x,x) € R³10 < x < 1}₁ d.) {(x,y) € /R² / 0 < x < 1} e.) {(x, y) ER lo ≤ x p ≤ y ≤ 1-x}.
Transcribed Image Text:5.1 1.1 2.J Which of the following sets is a (geometric) simplex? If the set is a simplex, give it's dimension, and express it as the convex hull of a set of points in general position, using the bracket notation. a) f(x, 3x) ER² | 0<x<1}. b.jd (x, y) = R² 1 0 < x < 1/10 < y ≤ 2}. (₁) {(x, 3x,x) € R³10 < x < 1}₁ d.) {(x,y) € /R² / 0 < x < 1} e.) {(x, y) ER lo ≤ x p ≤ y ≤ 1-x}.
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