Let {v1,..., vn} be a basis of V and let T: V V be a linear
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(a) If T(v1) = v1 for each i, show that T = 1v.
(b) If T(v1) = -v1 for each i, show that T = -1 is the scalar operator (see Example 1).
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b Since v 1 v n is a basis of V every vector v in V is a u...View the full answer
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