(2) I 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). (a) What is the order of r? of s? Justify. Note: r" = rororo...or. n times

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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consider the function and answer the stated problem

(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).
(a) What is the order of r? of s? Justify. Note: r" = r ororo...o r.
n times
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). (a) What is the order of r? of s? Justify. Note: r" = r ororo...o r. n times
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