\left| \begin{array} { l l } { 19 } & { 5 } \\ { 37 } & { 4 } \end{array} \right|
Evaluate
-109
Factor
-109
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det(\left(\begin{matrix}19&5\\37&4\end{matrix}\right))
Find the determinant of the matrix.
19\times 4-5\times 37
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
76-5\times 37
Multiply 19 times 4.
76-185
Multiply 5 times 37.
-109
Subtract 185 from 76.
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