T: R? → R² rotates points (about the origin) through-n/4radians (clockwise). [Hint: T(e1) = (1//2, –1//2).] In Exercises 1–10, assume that T is a linear transformation. Findthe standard matrix of T.

Given that T:ℝ2→ℝ2 is linear transformation such that T rotates the points about the origin through…

Answered: T: R? → R² rotates points (about the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 5EQ: In Exercises 1-12, determine whether T is a linear transformation. 5. T:Mnn→ ℝ defined by...

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T: R? → R² rotates points (about the origin) through-n/4 radians (clockwise). [Hint: T(e1) = (1//2, –1//2).] In Exercises 1–10, assume that T is a linear transformation. Find the standard matrix of T.