Answer
$x=\left[\begin{array}{c}134034 \\ 131687 \\ 69472 \\ 176912 \\ 66596 \\ 443773 \\ 18431\end{array}\right]$
Work Step by Step
Find matrix $I-C:$
$I-C=\left[\begin{array}{cccccc}0.8412 & -0.0064 & -0.0025 & -0.0304 & -0.0014 & -0.0083 & -0.1594 \\ -0.0057 & 0.7355 & -0.0436 & -0.0099 & -0.0083 & -0.0201 & -0.3413 \\ -0.0264 & -0.1506 & 0.6443 & -0.0139 & -0.0142 & -0.0070 & -0.0236 \\ -0.3299 & -0.0565 & -0.0495 & 0.6364 & -0.0204 & -0.0483 & -0.0649 \\ -0.0089 & -0.0081 & -0.0333 & -0.0295 & 0.6588 & -0.0237 & -0.0020 \\ -0.1190 & -0.0901 & -0.0996 & -0.1260 & -0.1722 & 0.7632 & -0.3369 \\ -0.0063 & -0.0126 & -0.0196 & -0.0098 & -0.0064 & -0.0132 & 0.9988\end{array}\right]$
We will put matrix $A=[I-C \quad d]$ into matlab and row reduce it by using command rref $(A)$
Result is:
$\left[\begin{array}{cccccccc}1 & 0 & 0 & 0 & 0 & 0 & 0 & 134034 \\ 0 & 1 & 0 & 0 & 0 & 0 & 0 & 131687 \\ 0 & 0 & 1 & 0 & 0 & 0 & 0 & 69472 \\ 0 & 0 & 0 & 1 & 0 & 0 & 0 & 176912 \\ 0 & 0 & 0 & 0 & 1 & 0 & 0 & 66596 \\ 0 & 0 & 0 & 0 & 0 & 1 & 0 & 443773 \\ 0 & 0 & 0 & 0 & 0 & 0 & 1 & 18431\end{array}\right]$ So, $\quad x=\left[\begin{array}{c}134034 \\ 131687 \\ 69472 \\ 176912 \\ 66596 \\ 443773 \\ 18431\end{array}\right]$
