\left| \begin{array} { c c } { - 10.6 } & { 13.2 } \\ { 9.4 } & { 37.9 } \end{array} \right|
Evaluate
-525.82
Factor
-525.82
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det(\left(\begin{matrix}-10.6&13.2\\9.4&37.9\end{matrix}\right))
Find the determinant of the matrix.
-10.6\times 37.9-13.2\times 9.4
For the 2\times 2 matrix \left(\begin{matrix}a&b\\c&d\end{matrix}\right), the determinant is ad-bc.
-401.74-13.2\times 9.4
Multiply -10.6 times 37.9 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
-401.74-124.08
Multiply 13.2 times 9.4 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
-525.82
Subtract 124.08 from -401.74 by finding a common denominator and subtracting the numerators. Then reduce the fraction to lowest terms if possible.
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