Lt v be a vector space and e v v be a projection ie e2 , Mathematics

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Lt v be a vector space and e v v be a projection ie e2

Question 1 - Let V and W be vector spaces, and let T : V → W be a linear transformation. Given a subspace U of V, Let T(U) denote the set of all images of the form T(x) where x is in U. Show that T(U) is a subspace of W.

Question 2 - Let V be a vector space and E : V → V be a projection (i.e. E² = E). What are the possible eigenvalues of E?

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Mathematics: Lt v be a vector space and e v v be a projection ie e2

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Mathematics: Lt v be a vector space and e v v be a projection ie e2

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