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Let a 26 47t consider nbspthe floating-point algorithm

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

a) Compute fl(a^Ta).

b) Compute fl(aa^t).

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 ||Q^TQ - I||, here ||·|| is the matrix norm induced by the vector 1-norm.

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Mathematics: Let a 26 47t consider nbspthe floating-point algorithm

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Mathematics: Let a 26 47t consider nbspthe floating-point algorithm

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