Question: An elementary reflection matrix has the form Q = I - 2uu², where u Rn is a unit vector. (a) Find the eigenvalues and eigenvectors

An elementary reflection matrix has the form Q = I - 2uu€², where u ˆˆ Rn is a unit vector.
(a) Find the eigenvalues and eigenvectors for the elementary reflection matrices corresponding to the following unit vectors:

(b) What are the eigenvalues and eigenvectors of a general elementary reflection matrix?

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