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Compute the householder matrix

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Reference no: EM131065257

(1) Let a = (2.6, 4.7)T. Consider  the floating-point algorithm with  3 digit rounding.

a) Compute fl(aTa).

b) Compute fl(aat).

c) Compute the Householder matrix Q generated by a as a 2x2 array. (Remember to round each computation to 3 digit)

d) Compute QTQ and ||QTQ - I||, here ||·|| is the matrix norm induced by the vector 1-norm.

Reference no: EM131065257

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