In Exercises 33 and 34, T is a linear transformation from

Chapter 2, Problem 33E

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QUESTION:

Problem 33E

In Exercises 33 and 34, T is a linear transformation from ℝ2 into ℝ2. Show that T is invertible and find a formula for T–1.

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QUESTION:

Problem 33E

In Exercises 33 and 34, T is a linear transformation from ℝ2 into ℝ2. Show that T is invertible and find a formula for T–1.

ANSWER:

Solution:-

Step1

Given that

T is a linear transformation from ℝ2 into ℝ2.

Step2

To find

Show that T is invertible and find a formula for T–1.

Step3

We have

T is a linear transformation from ℝ2 into ℝ2.

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