\left| \begin{array} { c c } { - 9 } & { - 9 } \\ { - 7 } & { - 10 } \end{array} \right|
Evaluate
27
Factor
3^{3}
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det(\left(\begin{matrix}-9&-9\\-7&-10\end{matrix}\right))
Find the determinant of the matrix.
-9\left(-10\right)-\left(-9\left(-7\right)\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
90-\left(-9\left(-7\right)\right)
Multiply -9 times -10.
90-63
Multiply -9 times -7.
27
Subtract 63 from 90.
Examples
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Matrix
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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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