Transform `[(1,3,3),(2,4,10),(3,8,4)]` into a unit matrix.

Explanation

Let `A=[(1,3,3),(2,4,10),(3,8,4)]`
Applying `R^(2)to R^(2)-2R_(1) and R_(3) to R_(3)-3R_(1), ` we get
`A~[(1,3,3),(0,-2,4),(0,-1,-5)]`
Applying `R_(2) to ((-1)/(2))R_(2) and R_(2)to (-1)R_(2),` we get
`A~[(1,3,3),(0,1,-2),(0,1,5)]`
Applying `R^(1)to R^(1)-3R_(2) and R_(3) to R_(3)-R_(1),` we get
`A~[(1,0,9),(0,1,-2),(0,0,7)]`
Applying `R_(3) to ((1)/(7))R_(3)` we get
`A~[(1,0,9),(0,1,-2),(0,0,1)]`
Applying` R_(1) to R_(1)-9R_(3) and R_(2) to R_(2) +2R_(3),` we get
`A~[(1,0,0),(0,1,0),(0,0,1)]`
Hence `A~I`