Prove Theorem 1 4 Assume that V and W are vector spaces of dimensions n and m with bases B and D, and that h V W is a linear map If h is represented by and V is represented by then the representation of the image of is this h1,2 hi n ,TL h2 1 h22 hz m 1 RepB,D(11) hm,1 hm,2m,B,D C1 C RepB (V) Cn ,2...

We mimic Example 11 just replacing the numbers with letters ...

Prove Theorem 1.4. Assume that V and W are vector spaces of dimensions n and m with

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Prove Theorem 1.4.
Assume that V and W are vector spaces of dimensions n and m with bases B and D, and that h: V †’ W is a linear map. If h is represented by

and ˆˆ V is represented by

then the representation of the image of is this.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:03 AM

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Prove Theorem 1.4. Assume that V and W are vector spaces of dimensions n and m with

Question:

h1,2 hi.n ,TL h2.1 h22 .. hz.m 1 ..니 RepB,D(11) = hm,1 hm,2m,B,D C1 C? RepB (V)- Cn ,2C2 Repo( h(v) ) = m,2C2

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We mimic Example 11 just replacing the numbers with letters ...View the full answer

Linear Algebra

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