Let h eR and let U be the vector subspace of R3 generated by the vector (h, 0, h). Let V = {(x, y, z) ER3: x +3y +z = 0}. %3D Which one of the following statements is true? O (a) For h O (b) dim(Un V) = 1 for any h O (c) dim(U) = 1 for any h- O (d) dim(Un V) = 0 for any h- O it holds that UnV=0. %3D 1765 290 392 %3D %3D tgeo. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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This is not a graded question so please don't disregard it as if it is. Thank you professor
Let h eR and let U be the vector subspace of R3 generated by the vector (h, 0, h).
Let V = {(x, y, z) ER³ : x + 3y + z = 0}.
%3D
Which one of the following statements is true?
O (a) For h
O (b) dim(Un v) = 1 for any h
O (c) dim(U) =1 for any h-
O (d) dim(Un V) = 0 for any h-
%3D
O it holds that UnV=0.
290
392
211
175
1755
%3D
%3D
igeo
21 P
1755
en
%3D
ccessivo
Transcribed Image Text:Let h eR and let U be the vector subspace of R3 generated by the vector (h, 0, h). Let V = {(x, y, z) ER³ : x + 3y + z = 0}. %3D Which one of the following statements is true? O (a) For h O (b) dim(Un v) = 1 for any h O (c) dim(U) =1 for any h- O (d) dim(Un V) = 0 for any h- %3D O it holds that UnV=0. 290 392 211 175 1755 %3D %3D igeo 21 P 1755 en %3D ccessivo
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