\left| \begin{array} { c c } { - 10 } & { - 5 } \\ { 8 } & { - 2 } \end{array} \right|
Evaluate
60
Factor
2^{2}\times 3\times 5
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det(\left(\begin{matrix}-10&-5\\8&-2\end{matrix}\right))
Find the determinant of the matrix.
-10\left(-2\right)-\left(-5\times 8\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
20-\left(-5\times 8\right)
Multiply -10 times -2.
20-\left(-40\right)
Multiply -5 times 8.
60
Subtract -40 from 20.
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