\left| \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 12 } \end{array} \right|
Evaluate
9
Factor
3^{2}
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det(\left(\begin{matrix}2&3\\5&12\end{matrix}\right))
Find the determinant of the matrix.
2\times 12-3\times 5
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
24-3\times 5
Multiply 2 times 12.
24-15
Multiply 3 times 5.
9
Subtract 15 from 24.
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