Question: Orthogonalization methods. (a) Given any two nonzero vectors x and y in R n , construct a Householder matrix H, such that Hx is a

Orthogonalization methods.

(a) Given any two nonzero vectors x and y in Rn , construct a Householder matrix H, such that Hx is a scalar multiple of y. Is the matrix H unique?

(b) Use Givens rotations to transform the vector

Orthogonalization methods. (a) Given any two nonzero vectors x and y inRn , construct a Householder matrix H, such that Hx is a

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