SOLUTION: What is the inverse of -2 4 written as a single simplified matrix? -3 0

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Question 23052: What is the inverse of
-2 4 written as a single simplified matrix?
-3 0
Answer by eclecticist(12) About Me  (Show Source):
You can put this solution on YOUR website!
The inverse of any 2x2 matrix with entries
a b
c d
is:
(1/determinant)* d -b
-c a
First of all, put the entries in the correct positions:
0 -4
3 -2
For this problem the determinant is -2 * 0 - 3 * -4 = 12
the inverse is then:
0/12 -4/12
3/12 -2/12
which simplifies to
0 -1/3
1/4 -1/6