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(2) Let (x, y) E R X R. Consider the following functions from R? to R? r((x, y)) = (-y, x) and s(x, y)) = (x, -y). (b) Let f be of the form r's where 0 < i < lr| and 0 < j < |s|. Fill in the table with these distinct functions and their images. image of (х, у) (x, y) (-у, х) i (х, —у) It may be nice to enumerate the elements alphabetically, e.g. list rs ahead of r's. ...

(2) Let (x, y) E R X R. Consider the following functions from R? to R? r((x, y)) = (-y, x) and s(x, y)) = (x, -y). (b) Let f be of the form r's where 0 < i < lr| and 0 < j < |s|. Fill in the table with these distinct functions and their images. image of (х, у) (x, y) (-у, х) i (х, —у) It may be nice to enumerate the elements alphabetically, e.g. list rs ahead of r's. ...

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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(2) I Let (x, y) e R × R. Consider the following functions from R? to R? r((x, y)) = (-y,x) and s((x, y)) = (x, -y). (b) Let f be of the form r's' where 0 < i < |r| and 0 < j < |s|. Fill in the table with these distinct functions and their images. image of (х, у) f (х, у) (-y, x) (х, —у) It may be nice to enumerate the elements alphabetically, e.g. list rs ahead of r's.
Transcribed Image Text:(2) I Let (x, y) e R × R. Consider the following functions from R? to R? r((x, y)) = (-y,x) and s((x, y)) = (x, -y). (b) Let f be of the form r's' where 0 < i < |r| and 0 < j < |s|. Fill in the table with these distinct functions and their images. image of (х, у) f (х, у) (-y, x) (х, —у) It may be nice to enumerate the elements alphabetically, e.g. list rs ahead of r's.
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