Answered: Let H be the plane 2 X- 2y- z=0 in R',…

Let H be the plane 2 X- 2y- z=0 in R', that is, H={(x, y, z)eR³ | 2x- 2y- z=0} and let F be the linear map, F:R3→R3 F(x, у, z) -(г х- гу-г z; 2 ytz; Find F(H) y-z).

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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Question

Let H be the plane
2 X- 2y- z=0
in R', that is, H={(x, y, z)eR³ | 2x- 2y- z=0} and let F be the linear
map,
F:R³→R3
F(x, у, z) (г х- гу-гz;
2 y+z;
y-z).
Find F(H)

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