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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