Let H be the plane Зx-3у+2z-0 (*) in R³, that is, H={(x, y, z)OR³ | 3x-3y+2z=0} and let F be the linear map, F:R³–→R³ F(x.V.2)-(4x+1y+3z; 2y-2z; (-2)2y+4z). Sub-Task (a). Find F(H) Sub-Task (b). Find F-(H)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let H be the plane
Зх-3у+2z-0
(*)
in R³, that is, H={(x, y, z)OR³ | 3x-3y+2z=0} and let F be the linear map, F:R³→R³
F(x,Y.Z)=(4x+1y+3z; 2y-2z; (-2)2y+4z).
Sub-Task (a). Find F(H)
Sub-Task (b). Find F-'(H)
Transcribed Image Text:Let H be the plane Зх-3у+2z-0 (*) in R³, that is, H={(x, y, z)OR³ | 3x-3y+2z=0} and let F be the linear map, F:R³→R³ F(x,Y.Z)=(4x+1y+3z; 2y-2z; (-2)2y+4z). Sub-Task (a). Find F(H) Sub-Task (b). Find F-'(H)
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