Question

Find the determinant of the following matrix.

[-4 2]
[5 -2]


A. 18
B.1
C.2
D. -2

Answer 1

\[\det \left[\begin{matrix}-4 & 2 \\ 5 & -2\end{matrix}\right]=(-4)\times(-2)-2\times5=8-10=-2\]
Thus, D. ;)
Cheers

Answer 2

\[\left|\begin{array}{ccc} -4 & 2 \\ 5 & -2 \end{array}\right|\]\[=(-4\times-2)-(2\times5)\]\[=8-10\]\[=-2\]

Answer 3

Thanks to both!