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