Let {v1,..., vn} be a basis of V and let T: V V be a linear

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Let {v1,..., vn} be a basis of V and let T: V → V be a linear transformation.
(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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Linear Algebra With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

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Question Posted: Jun 21, 2016 06:44 AM

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Let {v1,..., vn} be a basis of V and let T: V V be a linear

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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

Linear Algebra With Applications

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