\left| \begin{array} { r r } { 3 } & { 17 } \\ { 2 } & { - 2 } \end{array} \right|
Evaluate
-40
Factor
-40
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det(\left(\begin{matrix}3&17\\2&-2\end{matrix}\right))
Find the determinant of the matrix.
3\left(-2\right)-17\times 2
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-6-17\times 2
Multiply 3 times -2.
-6-34
Multiply 17 times 2.
-40
Subtract 34 from -6.
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