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(15 points) Short proofs involving Householder's matrix (symmetric) P=I-2ww . Show work. (a) Recall that p represents the spectral radius of a matrix and ||Al|2=

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(15 points) Short proofs involving Householder's matrix (symmetric) P=I-2ww . Show work. (a) Recall that p represents the spectral radius of a matrix and ||Al|2= p(A TA). Prove that | |Pl|2= p(P)

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