SOLUTION: Find the inverse of the following matrices MAT (A) = ((9 -8 3 16))

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Question 1164041: Find the inverse of the following matrices
MAT (A) = ((9 -8
3 16))

Answer by Edwin McCravy(20063)   (Show Source): You can put this solution on YOUR website!


First swap the upper left and lower right diagonal elements



Change the signs of upper right and lower left diagonal elements



Calculate the determinant of the original matrix, [or the determinant of
either of these, as they all have the same determinant:

(9)(16)-(-8)(3) = 144-(-24) = 144+24 = 168

Divide each term by the value of the determinant



Reduce any fractions that will reduce (they all will)



This method works ONLY for 2x2 matrices.

Edwin

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