\left| \begin{array} { l l } { 6 } & { 9 } \\ { 4 } & { 7 } \end{array} \right|
Evaluate
6
Factor
2\times 3
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det(\left(\begin{matrix}6&9\\4&7\end{matrix}\right))
Find the determinant of the matrix.
6\times 7-9\times 4
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
42-9\times 4
Multiply 6 times 7.
42-36
Multiply 9 times 4.
6
Subtract 36 from 42.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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