### Solution to Application Example 7.11

Calculation of the inverse of ${\overline{J}}^{0}$, that is. ${\left({\overline{J}}^{0}\right)}^{-1}$.

${\left({\overline{J}}^{0}\right)}^{-1}=\frac{\mathrm{A}\mathrm{d}\mathrm{j}\left({\overline{J}}^{0}\right)}{det\left({\overline{J}}^{0}\right)}\text{,}$

where Adj $\left({\overline{J}}^{0}\right)$ is the adjoint of matrix ${\overline{J}}^{0}$ and det$\left({\overline{J}}^{0}\right)$ = |${\overline{J}}^{0}$| is the determinant of ${\overline{J}}^{0}$.

The adjoint of ${\overline{J}}^{0}$ is obtained by first taking the ...

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