Given a line AB and the coordinate for A is (2,1) and B (2,3). AB will be rotated 900 counterclockwise with pivot point at (1,1). Then it will be reflected against y = -1. Find a matrix combination to represent these two transformations Hence, find the new coordinate for AB under this matrix combination.

Given a line AB and the coordinate for A is (2,1) and B (2,3). AB will be rotated 900 counterclockwise with pivot point at (1,1). Then it will be reflected against y = -1. Find a matrix combination to represent these two transformations Hence, find the new coordinate for AB under this matrix combination.

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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Step 1: Given information

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Step 2: Translation of point w.r.t. 'C'

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Step 3: Rotation in counter clockwise by 90 degree

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Step 4: Re-shifting the origin to (0,0)

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Step 5: The rotated point co-ordinates

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Step 6: Transformation matrix for reflection across x-axis.

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