\left| \begin{array} { r r } { - 12 } & { 6 } \\ { 4 } & { - 12 } \end{array} \right|
Evaluate
120
Factor
2^{3}\times 3\times 5
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det(\left(\begin{matrix}-12&6\\4&-12\end{matrix}\right))
Find the determinant of the matrix.
-12\left(-12\right)-6\times 4
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
144-6\times 4
Multiply -12 times -12.
144-24
Multiply 6 times 4.
120
Subtract 24 from 144.
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