SOLUTION: Find the inverse of the matrix 1 1 4 4

Question 935783: Find the inverse of the matrix
1 1
4 4
Answer by MathLover1(20850) (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.

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Answer:

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

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