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Question: answer a as a invertible and b as a linear...

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Answer (a) as a invertible and (b) as a linear isomorphism.

(a)

Let A: Rn → Rn be a linear map such that A2 def A。A Show that A is invertible. 0, i.e., A2,-0v. for any T E Ü E R.

(b)

Let V be a real vector space with basis v map L(Σ, xi ỹi)- v2. Show that V is isomorphic to R. In fact, show that the (x1, ,

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