# SOLUTION: Find the inverse for the given matrix: If [3 -8 ] [-3 -7] Then, A^-1=

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Question 255348: Find the inverse for the given matrix:
If [3 -8 ]
[-3 -7]
Then, A^-1=

Answer by jim_thompson5910(28595)   (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

### Step 2) Swap the values

Now switch the highlighted values to get

### Step 3) Change the sign

Now change the sign of the highlighted values to get

### Step 4) Multiply by the inverse of the determinant

Multiply by to get

Plug in to get

### Step 5) Multiply by every element in the matrix (simplify and reduce if possible)

Multiply by EVERY element to get

Multiply to get

Reduce each element:

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