Page 839 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition
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Show that the eigenvalues of a unitary matrix have modulus 1.
11.
Under what conditions is the following matrix normal?
12.
Show that if is a nonzero vector in that is expressed in column form, then is Hermitian and has rank 1.
13.
Show that if is a unit vector in that is expressed in column form, then is unitary and Hermitian. This
14. is called a Householder matrix.
What geometric interpretations might you reasonably give to multiplication by the matrices and
15. in Exercises 13 and 14?
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