Question: Let h: Rn Rm be a homomorphism. (a) Show that the image under h of a line in Rn is a (possibly degenerate) line

Let h: Rn → Rm be a homomorphism.
(a) Show that the image under h of a line in Rn is a (possibly degenerate) line in Rm.
(b) What happens to a k-dimensional linear surface?

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a For 0 1 R n the line through 0 with direction 1 is the set 0 t 1 t R The image u... View full answer

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