Question 317501: Find the inverse of the followin matrix, if the inverse exists.
A = [2 1 0]
[0 2 1]
[1 0 -1] Found 2 solutions by Edwin McCravy, Fombitz:Answer by Edwin McCravy(20060) (Show Source):
Augment the matrix with the identity matrix:
Use row operations to get the identity on the left:
R1-2R3->R3
-1R3+R1->R1
-R2+2R3->R3
2*R3+3*R1->R1
R3-3R2->R2
R1->R1 R2->R2 R3->R3
We end up with the identity matrix augmented with the inverse.
That is, is the 3x3 matrix on the right:
