Given F= [ 2 x ]
[ -4 3]
find the value of x such that F inverse (F^-1) doesn't exist. Show all work.
The key here is to find x such that the determinant of F is zero.
\(det(F) = 2\cdot 3 - (-4)\cdot x = 6+4x \\ \text{solving }det(F)=0 \text{ we get} \\ 6+4x = 0 \\ x = -\dfrac 3 2\)
+17 
