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- Feb 7th 2009, 03:17 AM #1
## Diemsion of Hom

I started by making a basis of U and a basis of V.

Transforming the basis of U by T gives . These vectors may not be linearly independent so sifting them gives:

where . Let which gives me the basis of V.

Is this the correct way to start? I really can't see another way of doing this question.

EDIT: Sorry for mistyping "Dimension" as the title.

- Feb 7th 2009, 07:59 AM #2

- Feb 7th 2009, 09:43 AM #3

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Let U and V be vector spaces of dimensions n and m over K, and let be the vector space over K of all linear maps from U to V.

Find the dimension and describe a basis of .

- Feb 8th 2009, 03:10 AM #4

- Feb 8th 2009, 11:19 AM #5

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- Feb 8th 2009, 12:21 PM #6