The following example uses Minor Triads in Am.

Root inversion - root is on the lowest note

E--------0--
B-----1-----
G--2--------
D-----------
A-----------
E-----------
   A  C  E
   R  3  5

First inversion - root is on highest note

E--------5--
B-----5-----
G--5--------
D-----------
A-----------
E-----------
   C  E  A
   3  5  R

Second inversion - root is in the middle

E--------8--
B-----10----
G--9--------
D-----------
A-----------
E-----------
   E  A  C
   5  R  3

Inversions on each string set 1st position

E--------0------------
B-----1------------1--
G--2------------2-----
D------------2--------
A---------------------
E---------------------
   A  C  E   E  A  C       
   Root      2nd              

Inversions on the E B G string set

E--------0---------5---------8--
B-----1---------5---------10----
G--2---------5---------9--------
D-------------------------------
A-------------------------------
E-------------------------------
   A  C  E   C  E  A   E  A  C
   Root      1st       2nd

Inversions on each string set 2nd position

E---------------------
B---------------------
G--------2------------
D-----2------------2--
A--3------------3-----
E------------5--------
   C  E  A   A  C  E 
   1st       Root       

Inversions on the B G D string set

E--------------------------------
B--------1---------5---------10--
G-----2---------5---------9------
D--2---------7---------10--------
A--------------------------------
E--------------------------------
   E  A  C   A  C  E   C  E  A
   2nd       Root      1st

Inversions on each string set 3rd position

E--------5----------------------
B-----5------------5------------
G--5------------5------------5--
D------------7------------7-----
A----------------------7--------
E-------------------------------
   C  E  A   A  C  E   E  A  C  
   1st       Root      2nd    

Inversions on the G D A string set

E-----------------------------------
B-----------------------------------
G--------2---------5---------9------
D-----2---------7---------10--------
A--3---------7---------12-----------
E-----------------------------------
   C  E  A   E  A  C   A  C  E
   1st       2nd       Root

Inversions on each string set 4th position

E--------8----------------------------------
B-----10-----------10-----------------------
G--9------------9------------9--------------
D------------10-----------10------------10--
A----------------------12-----------12------
E--------------------------------12---------
   E  A  C   C  E  A   A  C  E   E  A  C   
   2nd       1st       Root      2nd

Inversions on the D A E string set

E--------------------------------
B--------------------------------
G--------------------------------
D--------2---------7---------10--
A-----3---------7---------12-----
E--5---------8---------12--------
   A  C  E   C  E  A   E  A  C
   Root      1st       2nd