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# Let {v1, v2,..., vn} be a basis for a vector space V, and let T : V V be a linear

ISBN: 9781118474228 398

## Solution for problem 33 Chapter 8.1

Elementary Linear Algebra, Binder Ready Version: Applications Version | 11th Edition

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Elementary Linear Algebra, Binder Ready Version: Applications Version | 11th Edition

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Problem 33

Let {v1, v2,..., vn} be a basis for a vector space V, and let T : V V be a linear operator. Prove that if T(v1) = v1, T(v2) = v2, . . . , T(vn) = vn then T is the identity transformation on V.

Step-by-Step Solution:
Step 1 of 3

in[ ir,ltr iryra\rvr Enr-\! -*lnP -U* ,. = lbtt\"_Ll_Zt,...

Step 2 of 3

Step 3 of 3

##### ISBN: 9781118474228

This textbook survival guide was created for the textbook: Elementary Linear Algebra, Binder Ready Version: Applications Version, edition: 11. Elementary Linear Algebra, Binder Ready Version: Applications Version was written by and is associated to the ISBN: 9781118474228. This full solution covers the following key subjects: . This expansive textbook survival guide covers 80 chapters, and 2108 solutions. The answer to “Let {v1, v2,..., vn} be a basis for a vector space V, and let T : V V be a linear operator. Prove that if T(v1) = v1, T(v2) = v2, . . . , T(vn) = vn then T is the identity transformation on V.” is broken down into a number of easy to follow steps, and 46 words. The full step-by-step solution to problem: 33 from chapter: 8.1 was answered by , our top Math solution expert on 03/14/18, 04:26PM. Since the solution to 33 from 8.1 chapter was answered, more than 208 students have viewed the full step-by-step answer.

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Let {v1, v2,..., vn} be a basis for a vector space V, and let T : V V be a linear

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