SOLUTION: Let w,x,y,z be vectors and suppose z=2x+3y and w=2x−2y−z. A. Span(y)=Span(w) B. Span(y,w)=Span(z) C. Span(x,y)=Span(w) D. Span(x,y)=Span(x,w,z) Which is the correct ans

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let w,x,y,z be vectors and suppose z=2x+3y and w=2x−2y−z. A. Span(y)=Span(w) B. Span(y,w)=Span(z) C. Span(x,y)=Span(w) D. Span(x,y)=Span(x,w,z) Which is the correct ans      Log On


   

Question 1163923: Let w,x,y,z be vectors and suppose z=2x+3y and w=2x−2y−z.
A. Span(y)=Span(w)
B. Span(y,w)=Span(z)
C. Span(x,y)=Span(w)
D. Span(x,y)=Span(x,w,z)
Which is the correct answer(s)?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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The answer is critically depends on the space dimension (1, 2, 3 or more), which you failed to point in your post.


And from many other factors/aspects, which you also failed to describe in this post.