\left| \begin{array} { c c } { - 10 } & { - 5 } \\ { - 3 } & { - 2 } \end{array} \right|
Evaluate
5
Factor
5
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det(\left(\begin{matrix}-10&-5\\-3&-2\end{matrix}\right))
Find the determinant of the matrix.
-10\left(-2\right)-\left(-5\left(-3\right)\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
20-\left(-5\left(-3\right)\right)
Multiply -10 times -2.
20-15
Multiply -5 times -3.
5
Subtract 15 from 20.
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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Differentiation
\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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