Re: Linear Algebra

In article <1160686651.389119.179710@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
jennifer <scrilla_12_1999@xxxxxxxxx> wrote:

[...]

Let V denote a 10-dimensional vector space, and let U and W denote the
subspaces of V, where dim U= 8 and dim W= 9.
Prove that there are only two possible values of the dimension of UnW.

[...]

So... What do you think are the "two values" that dim(U/\W) "can
have"?

Dim(U/\W) = 7 or Dim(U/\W) = 8, right?


Yes. Now, you have proven that Dim(U/\W) >= 7.

Now, why is it that Dim(U/\W) <= 8?



--
======================================================================
"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes" by Bill Watterson)
======================================================================

Arturo Magidin
magidin-at-member-ams-org

.

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