問題詳情

【題組】

六、 The Householder matrix H =

is the orthogonal
projection matrix onto some nonzero vector

, is a reflection matrix. Which of the
following statements is/are true?

(A) Consider the 2-dimensional space, ie. n = 2. For vectors u, d, p,q  

shown in the
figure below, we have H d = p.


(B) H is a symmetric and orthogonal matrix.
(C) Both linear systems A z = o and HAz = Ho are equivalent.
(D) Let a =

≠0. Then llull2 = -2 llαll u1

and Hα =


(E) None of the above are true.

參考答案

答案：[無官方正解]
難度：計算中-1
書單：沒有書單，新增