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Question Number 218128 by mr W last updated on 30/Mar/25

 determinant ((?,?,?,?))× determinant ((?))=8044 determinant ((?))

$$\begin{array}{|c|}{?}&\hline{?}&\hline{?}&\hline{?}\\\hline\end{array}×\begin{array}{|c|}{?}\\\hline\end{array}=\mathrm{8044}\begin{array}{|c|}{?}\\\hline\end{array} \\ $$

Answered by A5T last updated on 30/Mar/25

((8044?)/8)>((80000)/8)=10000   ⇒ 8044? should be divisible by 9  ⇒9 ∣ 8+0+4+4+?⇒ ?=2  ⇒((80442)/9)×9=8938×9=80442

$$\frac{\mathrm{8044}?}{\mathrm{8}}>\frac{\mathrm{80000}}{\mathrm{8}}=\mathrm{10000}\: \\ $$$$\Rightarrow\:\mathrm{8044}?\:\mathrm{should}\:\mathrm{be}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{9} \\ $$$$\Rightarrow\mathrm{9}\:\mid\:\mathrm{8}+\mathrm{0}+\mathrm{4}+\mathrm{4}+?\Rightarrow\:?=\mathrm{2} \\ $$$$\Rightarrow\frac{\mathrm{80442}}{\mathrm{9}}×\mathrm{9}=\mathrm{8938}×\mathrm{9}=\mathrm{80442} \\ $$

Commented by mr W last updated on 30/Mar/25

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Commented by Rasheed.Sindhi last updated on 30/Mar/25

Typo  8938×9=80442

$${Typo} \\ $$$$\mathrm{8938}×\mathrm{9}=\mathrm{80442} \\ $$

Commented by A5T last updated on 30/Mar/25

Yea, thanks.

$$\mathrm{Yea},\:\mathrm{thanks}. \\ $$

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