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Let ABCD be the square with vertices (-1, 1), (1, 1), (1, -1), and (-1, -1) and let T be a linear transformation from 2 to R2. Then 7 maps parallel lines to parallel lines, a single line, a pair of points, or a single point. Use this fact to find and draw the image of ABCD under the given transformation. Reflection in the y-axis, followed by clockwise rotation through 30°

Let ABCD be the square with vertices (-1, 1), (1, 1), (1, -1), and (-1, -1) and let T be a linear transformation from 2 to R2. Then 7 maps parallel lines to parallel lines, a single line, a pair of points, or a single point. Use this fact to find and draw the image of ABCD under the given transformation. Reflection in the y-axis, followed by clockwise rotation through 30°

Advanced Engineering Mathematics
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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Let ABCD be the square with vertices (-1, 1), (1, 1), (1, -1), and (-1, -1) and let 7 be a linear transformation from R2 to R². Then T maps parallel lines to parallel lines, a single line, a pair of points, or a single point. Use this fact to find and draw the image of ABCD under the given transformation. Reflection in the y-axis, followed by clockwise rotation through 30°
Transcribed Image Text:Let ABCD be the square with vertices (-1, 1), (1, 1), (1, -1), and (-1, -1) and let 7 be a linear transformation from R2 to R². Then T maps parallel lines to parallel lines, a single line, a pair of points, or a single point. Use this fact to find and draw the image of ABCD under the given transformation. Reflection in the y-axis, followed by clockwise rotation through 30°
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