\subsection{Problem 14}

 Solve $\mathbf{Ax=b}$, where $A \in R ^ {10 \times 10}$ is  the  Hilbert  matrix, and,  $x \square N(0, I_{10})$ with the Gaussian elimination in Matlab. Then make a small change in an entry of $\mathbf{A}$ or $\mathbf{b}$, and compare the solutions.