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.
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.
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 21CT
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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°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fca54911f-4c33-48b6-9518-41b412a01cf9%2F22965463-5913-4aa9-9502-2fc9ff068f9e%2Fr6vaka4_processed.jpeg&w=3840&q=75)
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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