Find the eigenvalues (by computer) ofthe 8 by 8 Hilbert matrix aU = 1/0 + j -1). In the
Chapter 9, Problem 4(choose chapter or problem)
Find the eigenvalues (by computer) ofthe 8 by 8 Hilbert matrix aU = 1/0 + j -1). In the equation Ax = b with Ilbll = 1, how large can IIx II be? If b has roundoff error less than 10-16, how large an error can this cause in x? See Section 9.2.
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