Question: Let T: V V be a linear transformation, and let {v1, . . . , vn} be a basis for V such that {T(v1),

Let T: V → V be a linear transformation, and let {v1, . . . , vn} be a basis for V such that {T(v1), . . . , T (v)} is also a basis for V. Prove that T is invertible.

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