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#1 2009-10-07 16:04:06

mathsforumhelp
Member
Registered: 2009-10-07
Posts: 14

Dimension of u

In this question you are asked to find the dimension the subspace U of R5 given by:
U is set of vectors of the form (2 a, a, a, a - 4 b, a + b)

The dimension of U is

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#2 2009-10-07 23:34:09

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Dimension of u

U has dimension 2 - all the vectors in that form are a linear combination of these two:

(2,1,1,1,1)
(0,0,0,-4,1)


Why did the vector cross the road?
It wanted to be normal.

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