Answered: Find the standard matrix of the given…

Find the standard matrix of the given linear transformation from R2 to R2 Clockwise rotation through 30° about the origin

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 21EQ: In Exercises 20-25, find the standard matrix of the given linear transformation from ℝ2 to ℝ2. 21....

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Question

Find the standard matrix of the given linear transformation from R² to R² Clockwise rotation through 30° about the origin

Expert Solution

Step 1

Transformation from (1,0) to and (0,1) to is shown in the figure.

Step 2

If A is the matrix, then,

and

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