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Sketch the hyperplane X 1 − X 2 = 0. Indicate (by using either different colors or symbols) the set of points for which X 1 − X 2 > 0, as well as the set of points for which X 1 − X 2 < 0. To which class do the following points belong:   i. X 1 = 1,X 2 = 1, ii. X 1 = 0,X 2 = −1, iii. X 1 = 0,X 2 = 1

Sketch the hyperplane X 1 − X 2 = 0. Indicate (by using either different colors or symbols) the set of points for which X 1 − X 2 > 0, as well as the set of points for which X 1 − X 2 < 0. To which class do the following points belong:   i. X 1 = 1,X 2 = 1, ii. X 1 = 0,X 2 = −1, iii. X 1 = 0,X 2 = 1

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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Sketch the hyperplane X 1 − X 2 = 0. Indicate (by using either different colors or symbols) the set of points for which X 1 − X 2 > 0, as well as the set of points for which X 1 − X 2 < 0. To which class do the following points belong:

 

i. X 1 = 1,X 2 = 1,

ii. X 1 = 0,X 2 = −1,

iii. X 1 = 0,X 2 = 1

( don't hand writing solution) 

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