Determinant of [1347]\left[\begin{array}{cc}1 & 3\\4 & 7\end{array}\right]

The calculator will find the determinant of the square 22x22 matrix [1347]\left[\begin{array}{cc}1 & 3\\4 & 7\end{array}\right], with steps shown.

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A

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Your Input

Calculate 1347\left|\begin{array}{cc}1 & 3\\4 & 7\end{array}\right|.

Solution

The determinant of a 2x2 matrix is abcd=adbc\left|\begin{array}{cc}a & b\\c & d\end{array}\right| = a d - b c.

1347=(1)(7)(3)(4)=5\left|\begin{array}{cc}1 & 3\\4 & 7\end{array}\right| = \left(1\right)\cdot \left(7\right) - \left(3\right)\cdot \left(4\right) = -5

Answer

1347=5\left|\begin{array}{cc}1 & 3\\4 & 7\end{array}\right| = -5A