(Step-by-Step) Calculate the determinant below by factoring the matrix into elementary matrices times simpler matrices and using the trick det;(M)=det;(E^-1 E
Question: Calculate the determinant below by factoring the matrix into elementary matrices times simpler matrices and using the trick
\[\operatorname{det}(M)=\operatorname{det}\left(E^{-1} E M\right)=\operatorname{det}\left(E^{-1}\right) \operatorname{det}(E M)\]Explicitly show each ERO matrix.
\[\operatorname{det}\left(\begin{array}{lll} 2 & 1 & 0 \\ 4 & 3 & 1 \\ 2 & 2 & 2 \end{array}\right)\]
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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document 