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Topic: dimension of subspaces (Read 495 times) |
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Samantha
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Find the dimension of each of the following subspaces a) W = {(x,y,z)|2x-y+z=0} in R3 b)The subspace of R4 consisting of all the vectors orthogonal to the vector a= (5,1,2,-3) c) The subspace of R3 spanned by the vectors (1,-2,2), (6,-1,5) and (4,3,1)
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towr
wu::riddles Moderator Uberpuzzler
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Re: dimension of subspaces
« Reply #1 on: May 18th, 2004, 8:30am » |
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:: a) two degrees of freedom, so D=2 b) only one direction is set, it takes 4 to span up the space, so D=3 c) linearly independant span set of size 3, so D=3 ::
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« Last Edit: May 18th, 2004, 8:31am by towr » |
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Wikipedia, Google, Mathworld, Integer sequence DB
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Samantha
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Re: dimension of subspaces
« Reply #2 on: May 19th, 2004, 6:00am » |
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thanx!!! could you plz explain it in more detail...i'm confused as to why it is so
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