SOLUTION: Hello, I'm trying to find the inverse of the following matrix; please help. I have to show all my work for homework, but I'm getting confused. Thank you! (18 9) (-8 -4)

Question 199607: Hello,
I'm trying to find the inverse of the following matrix; please help. I have to show all my work for homework, but I'm getting confused. Thank you!
(18 9)
(-8 -4)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Finding the Inverse of a 2x2 Matrix

To find the inverse of the matrix , we can follow these steps:

Step 1) Find the determinant

The determinant of is . So this means that

Since the determinant is equal to zero, this means that no inverse exists.

Remember, the inverse of is .

If , then a division by zero occurs, which is NOT allowed.

So we can stop here.

=================================================================

Answer:

So the inverse of does NOT exist since (ie the determinant is 0).

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