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Let Construct an isomorphism from V to F

Chapter 2, Problem 14

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QUESTION:

Let Construct an isomorphism from V to F .

Questions & Answers

QUESTION:

Let Construct an isomorphism from V to F .

ANSWER:

Step 1 of 3

Let

                 

To construct an isomorphism from V to .

Let us consider a transformation defined by

                 

First, let us prove that T is linear.

Let us consider two arbitrary elements and two arbitrary scalars .

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