\left| \begin{array} { l l } { 6 } & { - 5 } \\ { 4 } & { 3 } \end{array} \right|
Evaluate
38
Factor
2\times 19
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det(\left(\begin{matrix}6&-5\\4&3\end{matrix}\right))
Find the determinant of the matrix.
6\times 3-\left(-5\times 4\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
18-\left(-5\times 4\right)
Multiply 6 times 3.
18-\left(-20\right)
Multiply -5 times 4.
38
Subtract -20 from 18.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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