b$)$ Determine the measured displacement, i$.$e$.,$ vector $\{x\}($without and with noise$)$ for the reference case and the case based on your final matric number using Cramer's Rule. Then, compare the vector $\{x\}$ with and without noise, and explain by relating the condition of the system with the noise amplification effect on the measured displacement. If Cramer's Rule is not applicable, explain why. $(5$ marks$)$

$[$A$]\{x\}=[b]$

$\backslash$table$[[$Case$,$Actual parameters without noise,Measured parameters with noise$],[$Reference$,[A]=\left[\begin{array}{ccc}-1& 1& 1\\ 1& -1& 1\\ 1& 1& -1\end{array}\right],[A]=\left[\begin{array}{ccc}-1& 1& 1\\ 1& -1& 1\\ 1& 1& -1\end{array}\right]$