(5) Find a matrix M such that for every vector in the plane, the product M-equals the A by 240 counter-clockwise around the origin. For instance, we have M-√3/2]-[-√3/2 result of rotating

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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(5) Find a matrix M such that for every vector
D
result of rotating
by 240 counter-clockwise around the origin. For instance, we have
[√3/2]-[-√3/2]
M
in the plane, the product M 0
equals the
Transcribed Image Text:(5) Find a matrix M such that for every vector D result of rotating by 240 counter-clockwise around the origin. For instance, we have [√3/2]-[-√3/2] M in the plane, the product M 0 equals the
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