\left| \begin{array} { l l } { 11 } & { 2 } \\ { 12 } & { 3 } \end{array} \right|
Evaluate
9
Factor
3^{2}
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det(\left(\begin{matrix}11&2\\12&3\end{matrix}\right))
Find the determinant of the matrix.
11\times 3-2\times 12
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
33-2\times 12
Multiply 11 times 3.
33-24
Multiply 2 times 12.
9
Subtract 24 from 33.
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