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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

calculate determinant of:

\(\displaystyle

\left| {\begin{array}{cc} 2 & -2 & -3 & 8 \\ 1 & -1 & 2 & -1 \\ -3 & 4 & 1 & -1 \\ -2 & 6 & -4 & 19 \end{array} } \right|\)

so I multiplication -2 row 2 and add it to row 1, multiplication 3 to row 2 and add it to row 3, multiplicate 2 to row 2 and add it to row 4 and get

\(\displaystyle

\left| {\begin{array}{cc} 0 & 0 & -5 & -10 \\ 1 & -1 & 2 & -1 \\ 0 & 1 & 7 & -4 \\ 0 & 4 & 0 & 17 \end{array} } \right|\) and develops in columne 1 and use sarrus rule but I get wrong.

Regards,

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