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# Matrices problem

0
115
1
+17

Given F= [ 2  x ]

[ -4  3]

find the value of x such that F inverse (F^-1) doesn't exist. Show all work.

Sep 23, 2018

#1
+4000
+1

The key here is to find x such that the determinant of F is zero.

$$det(F) = 2\cdot 3 - (-4)\cdot x = 6+4x \\ \text{solving }det(F)=0 \text{ we get} \\ 6+4x = 0 \\ x = -\dfrac 3 2$$

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Sep 23, 2018