198. Apply the 57-degree counterclockwise rotation about the origin to the vectors [1, 0] and [0, 1], then use the image vectors (written as columns) to form the coefficient matrix M for the rotation. Test M by calculating the products M and M Where does this rotation send the vector [3, 1]? Does M, when applied to do its job correctly? 1

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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198. Apply the 57-degree counterclockwise rotation about the origin to the vectors [1,0] and
[0, 1], then use the image vectors (written as columns) to form the coefficient matrix M
for the rotation. Test M by calculating the products M
and M
Where does this
rotation send the vector [3, 1]? Does M, when applied to
3
do its job correctly?
6.
6.
Transcribed Image Text:198. Apply the 57-degree counterclockwise rotation about the origin to the vectors [1,0] and [0, 1], then use the image vectors (written as columns) to form the coefficient matrix M for the rotation. Test M by calculating the products M and M Where does this rotation send the vector [3, 1]? Does M, when applied to 3 do its job correctly? 6. 6.
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