Let T be the reflection about the line -2x + ly = 0 and T, be the reflection about the line 2x + ly=0 in the euclidean plane. (i) The standard matrix of T o T2 is: -7/25 24/25 -24/25 -7/25 Thus T o T2 is a counterclockwise rotation about the origin by an angle of radians. (ii) The standard matrix of T, o T is: -7/25 -24/25 24/25 -7/25 Thus T, o T is a counterclockwise rotation about the origin by an angle of radians.

Let T be the reflection about the line -2x + ly = 0 and T, be the reflection about the line 2x + ly=0 in the euclidean plane. (i) The standard matrix of T o T2 is: -7/25 24/25 -24/25 -7/25 Thus T o T2 is a counterclockwise rotation about the origin by an angle of radians. (ii) The standard matrix of T, o T is: -7/25 -24/25 24/25 -7/25 Thus T, o T is a counterclockwise rotation about the origin by an angle of radians.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 29CR: Use the standard matrix for counterclockwise rotation in R2 to rotate the triangle with vertices...

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In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

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Let T be the reflection about the line -2x + ly = 0 and T, be the reflection about the line 2x + ly = 0 in the euclidean
plane.
(i) The standard matrix of T o T, is:
-7/25
24/25
-24/25
-7/25
Thus T o T, is a counterclockwise rotation about the origin by an angle of
radians.
(ii) The standard matrix of T, o T is:
-7/25
-24/25
24/25
-7/25
Thus T, o T1 is a counterclockwise rotation about the origin by an angle of
radians.

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