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3 Let aj = -1 a2 аз bị 5 5 3 -1 3 b2 -3 b3 2 and n = and let %3D -2 -2 A = {a1, a2, a3} and B = {b1, b2, b3}. Find a hyperplane H %3D %3D with normal n that separates A and B. Is there a hyperplane parallel to H that strictly separates A and B?

3 Let aj = -1 a2 аз bị 5 5 3 -1 3 b2 -3 b3 2 and n = and let %3D -2 -2 A = {a1, a2, a3} and B = {b1, b2, b3}. Find a hyperplane H %3D %3D with normal n that separates A and B. Is there a hyperplane parallel to H that strictly separates A and B?

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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3 Let aj = -1 a2 аз bị 5 5 3 -1 3 b2 -3 b3 2 and n = and let %3D -2 -2 A = {a1, a2, a3} and B = {b1, b2, b3}. Find a hyperplane H %3D %3D with normal n that separates A and B. Is there a hyperplane parallel to H that strictly separates A and B?
Transcribed Image Text:3 Let aj = -1 a2 аз bị 5 5 3 -1 3 b2 -3 b3 2 and n = and let %3D -2 -2 A = {a1, a2, a3} and B = {b1, b2, b3}. Find a hyperplane H %3D %3D with normal n that separates A and B. Is there a hyperplane parallel to H that strictly separates A and B?
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