Let x = (1,2, -2)T. (a) Find a Householder matrix H such that Hx is a vector

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Let x = (1,2, -2)T.
(a) Find a Householder matrix H such that Hx is a vector of the form (r, 0, 0)T.
(b) Find a Givens transformation G such that Gx is a vector of the form (1, s, 0)T.
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