Let U=span{ū, ,ū,,ūz and Û=span{u ,u,,u where ū,=(1,0,0,0), ū,=(0,1,1,0), ū,=(0,1,1,1) and u,=(1,0,0,1), u,=(1,1,0,0), u,=(0,0,1,1). Determine the basis and dimension of U & Û.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let U=span{ū, ,ū,,ūz and
Û=span{u ,u,,u where
ū,=(1,0,0,0), ū,=(0,1,1,0), ū,=(0,1,1,1) and
u,=(1,0,0,1), u,=(1,1,0,0), u,=(0,0,1,1).
Determine the basis and dimension of
U & Û.
Transcribed Image Text:Let U=span{ū, ,ū,,ūz and Û=span{u ,u,,u where ū,=(1,0,0,0), ū,=(0,1,1,0), ū,=(0,1,1,1) and u,=(1,0,0,1), u,=(1,1,0,0), u,=(0,0,1,1). Determine the basis and dimension of U & Û.
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