Exercise 2.2.11 Let T: R2 R2 be a transformation. In each case show that T is induced by a matrix and find the matrix. a. T is a reflection in the y axis. b. T is a reflection in the line y = x. c. T is a reflection in the line y = -x.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
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Answer c.
Exercise 2.2.11 Let T: R2 R2 be a transformation.
In each case show that T is induced by a matrix and find
the matrix.
a. T is a reflection in the y axis.
b. T is a reflection in the line y = x.
c. T is a reflection in the line y = -x.
T
d. T is a clockwise rotation through 2°
Transcribed Image Text:Exercise 2.2.11 Let T: R2 R2 be a transformation. In each case show that T is induced by a matrix and find the matrix. a. T is a reflection in the y axis. b. T is a reflection in the line y = x. c. T is a reflection in the line y = -x. T d. T is a clockwise rotation through 2°
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