Let N = 10, and H be the Hilbert matrix, I.e, H(i,j) =1/(i+j-1), 1 <= i,j <= N.
Let b be the vector such that b(i) = 1, 1<=i <=N.
a) Find the LU decomposition of H.
b) Find the solution H x = b.
c) Find the determinant of H.
d) Find the inverse of H.
Please write in Fortran
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