Let T: V →W be a linear transformation from V to W. a) show that if...

Let T: V →W be a linear transformation from V to W.

a) show that if T is injective and S is a linearly independent set of vectors in V, then T（S） is linearly independent.

b) Show that if T is surjective and S spans V,then T（S） spans W.

Please do clear handwriting!

Expert Solution

Colby Messinger answered 3 months ago

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