Consider the n x n symmetric matrix H = I - 2uuT, where u is a unit vector in Rn, i.e., uTu = 1. (a) Show that H is an orthogonal matrix. (b) Show that u is an eigenvector of H and find the corresponding eigenvalue.

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Q: Consider the n x n symmetric matrix H = I - 2uuT, where u is a unit vector in Rn, i.e., uTu = 1. H…

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