\left| \begin{array} { r r } { 3 } & { - 7 } \\ { 3 } & { 8 } \end{array} \right|
Evaluate
45
Factor
3^{2}\times 5
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det(\left(\begin{matrix}3&-7\\3&8\end{matrix}\right))
Find the determinant of the matrix.
3\times 8-\left(-7\times 3\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
24-\left(-7\times 3\right)
Multiply 3 times 8.
24-\left(-21\right)
Multiply -7 times 3.
45
Subtract -21 from 24.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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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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