Answer in book says both these (d,f) below are linear transformations, please show me how? 2) Which of the following are linear transformations from R2 >R2? (d) Rotation: if x = rcos0,y rsin0, then T(x, y) (rcos(0), rsin(0 + p)) for some constants angle p (f) Reflection: given a fixed vector 7 = (a, b), T maps each point to its reflection with respect to r 2x,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section: Chapter Questions
Problem 6PTTS
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need help w d and f (lin algebra)

Answer in book says both these (d,f) below are linear transformations, please show me how?
2) Which of the following are linear transformations from R2 >R2?
(d) Rotation: if x = rcos0,y
rsin0, then
T(x, y)
(rcos(0), rsin(0 + p)) for some constants angle p
(f) Reflection: given a fixed vector 7 = (a, b), T maps each point to its reflection with
respect to r
2x,
Transcribed Image Text:Answer in book says both these (d,f) below are linear transformations, please show me how? 2) Which of the following are linear transformations from R2 >R2? (d) Rotation: if x = rcos0,y rsin0, then T(x, y) (rcos(0), rsin(0 + p)) for some constants angle p (f) Reflection: given a fixed vector 7 = (a, b), T maps each point to its reflection with respect to r 2x,
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