Let T be the flection about the line -2x + ly = 0 and T, be the reflection about the line 2x + ly = 0 in the euclideanplane.(i) The standard matrix of T o T, is:-7/2524/25-24/25-7/25Thus T1T2 is a counterclockwise rotation about the origin by an angle ofradians.(ii) The standard matrix of T, o T¡ is:-7/25-24/2524/25-7/25Thus T, o T is a counterclockwise rotation about the origin by an angle ofradians.

The matrix of reflection about a line y=mx is. A=11+m21-m22m2mm2-1 Given that T1 is a reflection…

Let T be the flection 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 T is a counterclockwise rotation about the origin by an angle of radians.

Let T be the flection 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 T is a counterclockwise rotation about the origin by an angle of radians.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Linear Algebra

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.

Question

Let T be the flection 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 T1
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.

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