Derive the result of Exercise 2.2.12 by the change-of-basis formula

Chapter 4, Problem 6

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QUESTION:

Derive the result of Exercise 2.2.12 by the change-of-basis formula.

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QUESTION:

Derive the result of Exercise 2.2.12 by the change-of-basis formula.

ANSWER:

Step 1 of 6

According to the change of Basis formula, . Where  is standard matrix for a linear transformation ,  is the  matrix whose columns are given by, . And  is an ordered basis for , where is the matrix for  with respect to .

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