Exercise 4.23

With the MATLAB command >>A=hilb(n) the $ n \times n$ Hilbert matrix is created, whose elements are given by $ A_{ij}=\frac{1}{i+j-1}$ .
a)
Determine the $ 5 \times 5$ Hilbert matrix and call it $ A$
b)
Solve $ Ax_1=b_1=(2.2833, 1.4500, 1.0929, 0.8845, 0.7456)^T$
c)
Solve $ Ax_2=b_2=(2.2834, 1.4501, 1.0928, 0.8844, 0.7457)^T$
d)
Compare $ b_1$ with $ b_2$ and $ x_1$ with $ x_2$ .



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Esteur 2010-03-22