## Differential Equations and Linear Algebra (4th Edition)

$\overline{z}=7-i$ and $|z|=\sqrt{50}$.
Of a complex number $z=a+bi$, $\overline{z}=a-bi$ and $|z|=\sqrt{a^2+b^2}$ Hence here, $\overline{z}=7-i$ and $|z|=\sqrt{7^2+1^2}=\sqrt{50}$.