find the inverse matrix show all your work 4 4 3SolutionYour
find the inverse matrix. show all your work
-4 4 3
Solution
Your matrix
Determinant is not zero, therefore inverse matrix exists
Write the augmented matrix
Make the pivot in the 1st column by dividing the 1st row by 3
Eliminate the 1st column
Make the pivot in the 2nd column by dividing the 2nd row by 2/3
Eliminate the 2nd column
Make the pivot in the 3rd column by dividing the 3rd row by -11
Eliminate the 3rd column
There is the inverse matrix on the right
Result:
(answer)
| A1 | A2 | A3 | |
|---|---|---|---|
| 1 | 3 | 2 | 2 | 
| 2 | 2 | 2 | 3 | 
| 3 | -4 | 4 | 3 | 

