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Calculate Determinant
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det(\left(\begin{matrix}845,632&6,673\\-186,536&-2,415\end{matrix}\right))
Find the determinant of the matrix.
845,632\left(-2,415\right)-6,673\left(-186,536\right)
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-2042,20128-6,673\left(-186,536\right)
Multiply 845,632 times -2,415 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
-2042,20128-\left(-1244,754728\right)
Multiply 6,673 times -186,536 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
-797,446552
Subtract -1244,754728 from -2042,20128 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.