not allowed to use reflection and rodrigue formula Problem 23. Consider the plane P in R³ defined by the equation x+2y+3z = 0 and the line L in R³ spannedby the vector 3. Let S : R3 R³ denote the reflection through the plane P: it takes a vector in R³ andtransforms it into its mirror image, the mirror being the plane P. Let T: R³ → R³ denote the 90° rotationaround L of your choice (i.e. you can choose if the rotation is clockwise or counterclockwise). Both S and Tare linear transformations (you don't have to prove that). Find the matrix A such that (TS)(x) = Ax for allvectors R³. Here is some information that you might find useful:The vector 2 is perpendicular to the plane.3-21are perpendicular to the line. They are also perpendicular to each other.• The vectorsand-7030

The matrix A Such that (T∘S)(x)=Ax for all vectores x∈R3 , where :S represent the reflection…

Answered: Problem 23. Consider the plane P in R³…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.5: Applications Of Linear Transformations

Problem 4E

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