\left| \begin{array} { c c } { 3 } & { - 6 } \\ { 5 } & { 7 } \end{array} \right|
Evaluate
51
Factor
3\times 17
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det(\left(\begin{matrix}3&-6\\5&7\end{matrix}\right))
Find the determinant of the matrix.
3\times 7-\left(-6\times 5\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
21-\left(-6\times 5\right)
Multiply 3 times 7.
21-\left(-30\right)
Multiply -6 times 5.
51
Subtract -30 from 21.
Examples
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Matrix
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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