# For those who don't know part 5 (Determinants)

Algebra Level 5

$$X=\left| \begin{matrix} 0 & 4 & 4 \\ 3 & 2 & 4 \\ 1 & 8 & 11 \end{matrix} \right| +\left| \begin{matrix} 0 & 4 & 4 \\ -3 & 5 & 0 \\ 1 & 4 & 7 \end{matrix} \right| +4\left| \begin{matrix} 1 & 1 & 1 \\ 1 & 7 & 4 \\ 0 & 4 & 7 \end{matrix} \right|$$

Find the value of $$X$$ without expanding the determinants

(Using properties of determinants)

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