Question
Consider a 33 matrix A and vectors v and vector w. It is given that Av=v, Aw=w and vw 0 . Determine if A could
Consider a 33 matrix A and vectors v and vector w. It is given that Av=v, Aw=w and vw 0 . Determine if A could represent:
(a) a reflection across a line
(b) a projection on a line
(c) a reflection across a plane
(d) a projection on a plane
(e) a rotation
Justify your answer by providing an example of a matrix and vectors, or a reason why they can't exist.
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
