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Question Number 153486 by roxceefocus last updated on 07/Sep/21
Answered by liberty last updated on 08/Sep/21
$$\:{det}\left({F}\right)=\mathrm{3}\left(\mathrm{0}\right)−\mathrm{4}\left(\mathrm{0}−\mathrm{4}\right)+\mathrm{2}\left(\mathrm{0}+\mathrm{2}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{16}+\mathrm{4}=\mathrm{20} \\ $$$$\begin{pmatrix}{{x}}\\{{y}}\\{{z}}\end{pmatrix}\:=\frac{\mathrm{1}}{\mathrm{20}}\:{adj}\begin{pmatrix}{\mathrm{3}\:\:\:\:\:\:\mathrm{4}\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{0}\:\:−\mathrm{1}\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{2}\:\:\:\:\:\:\mathrm{1}\:\:−\mathrm{2}}\end{pmatrix}\:\begin{pmatrix}{−\mathrm{1}}\\{−\mathrm{8}}\\{\:\:\:\mathrm{6}}\end{pmatrix} \\ $$