Consider the matrix of Hibert H100 and thesystem HX = b, where b is a columnvector from 1 to 100. Solve the system in the following three ways-->
1) X = H-1 b
2) Using the factorization H = LU
3) Using the factorization H = QR
Premultiplica H for each of the three solution vectorsand make the comparison with vector b.
What method gives a better solution?
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