Show that b is a symmetric matrix and b2 = b

Reference no: EM131074394

Let u be a unit vector in Rn, and let B = uuT.

a. Given any x in Rn, compute Bx and show that Bx is the orthogonal projection of x onto u, as described in Section 6.2.

b. Show that B is a symmetric matrix and B2 = B.

c. Show that u is an eigenvector of B. What is the corresponding eigenvalue?

Reference no: EM131074394

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