Suppose T : V W is an isomorphism and dim V = n. Prove that dimW = n

Chapter 4, Problem 17

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QUESTION:

Suppose \(T:\ V\ \rightarrow\ W\) is an isomorphism and dim V = n. Prove that dim W = n.

Questions & Answers

QUESTION:

Suppose \(T:\ V\ \rightarrow\ W\) is an isomorphism and dim V = n. Prove that dim W = n.

ANSWER:

Problem 17

Suppose  is an isomorphism and dim V = n. Prove that dim W = n.

                                                               Step by Step Solution

Step 1 of 2

Let  be a basis of .

 is a basis of

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