Let T = and p, = P2 = P3 P = (a) Find the barycentric coordinates of p1, P2- P3, and på with respect to T. (b) Use your answers to part (a) to determine whether each of p1, P2; P3, Pa in part (a) is inside, outside, or on the edge of conv T. (Recall that conv T is the convex hull of the set T.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 10AEXP
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Let T =
and p, =
P2 =
P3
P =
(a) Find the barycentric coordinates of p1, P2- P3, and på with respect to T.
(b) Use your answers to part (a) to determine whether each of p1, P2; P3, Pa in part (a) is inside,
outside, or on the edge of conv T. (Recall that conv T is the convex hull of the set T.)
Transcribed Image Text:Let T = and p, = P2 = P3 P = (a) Find the barycentric coordinates of p1, P2- P3, and på with respect to T. (b) Use your answers to part (a) to determine whether each of p1, P2; P3, Pa in part (a) is inside, outside, or on the edge of conv T. (Recall that conv T is the convex hull of the set T.)
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