\left| \begin{array} { c c } { 3 } & { 1 } \\ { - 3 } & { 7 } \end{array} \right|
Evaluate
24
Factor
2^{3}\times 3
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det(\left(\begin{matrix}3&1\\-3&7\end{matrix}\right))
Find the determinant of the matrix.
3\times 7-\left(-3\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
21-\left(-3\right)
Multiply 3 times 7.
24
Subtract -3 from 21.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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