Consider the computational complexity for solving the linear system, HX = b. H is the nx n Hilbert matrix, whose (i, j) entry is 1/(i+j- 1). b is a random vector. For the following questions, answer with O(nº), p is an integer. (a) Use Gauss elimination. (b) Use LU factorization to solve the system for n different vector b.

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A: Let A and B be any two sets.Prove that: .

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Q: 5. If limn→∞ an 1 (a) limn→∞ bn (b) limn→∞ A and limno bn = B 0, prove B' an = bn B.

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Q: 5. a. For all real numbers x and y, if x is rational and y is irrational, then x + y is irrational

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Q: Consider t is the distance from (1, 0) to (-0.9433, 0.3320) along the circumference of the unit…

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