\left| \begin{array} { r r } { - 2 } & { 15 } \\ { 3 } & { - 3 } \end{array} \right|
Evaluate
-39
Factor
-39
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det(\left(\begin{matrix}-2&15\\3&-3\end{matrix}\right))
Find the determinant of the matrix.
-2\left(-3\right)-15\times 3
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
6-15\times 3
Multiply -2 times -3.
6-45
Multiply 15 times 3.
-39
Subtract 45 from 6.
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