Suppose that T is a one-to-one transformation, so that an equation T (u) = T(v) always implies u = v. Show that if the set of images {T(v1), . .. , T (vp)}islinearly dependent, then {V1, ..., Vp is linearly dependent. This fact shows that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set (because in this case the set of images cannot be linearly dependent).

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A: True.

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A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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Q: (2)

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