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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
avatar+5224 
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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

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