A-1-2-3-2-3-1-3-2-1-det-M-3-3-

Question Number 123965 by Khalmohmmad last updated on 29/Nov/20

$${A}=\begin{bmatrix}{\mathrm{1}\:\:\:\mathrm{2}\:\:\:\:\:\mathrm{3}}\\{\mathrm{2}\:\:\:\mathrm{3}\:\:\:\:\:\mathrm{1}}\\{\mathrm{3}\:\:\:\:\mathrm{2}\:\:\:\:\mathrm{1}}\end{bmatrix} \\ $$$${det}\left({M}_{\mathrm{3}×\mathrm{3}} \right)=? \\ $$

Commented by MJS_new last updated on 29/Nov/20

$$\begin{vmatrix}{{a}}&{{b}}&{{c}}\\{{d}}&{{e}}&{{f}}\\{{g}}&{{h}}&{{i}}\end{vmatrix}={aei}+{bfg}+{cdh}−\left({afh}+{bdi}+{ceg}\right) \\ $$

Commented by JDamian last updated on 29/Nov/20

What is M?

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