Shortcut for adding new row or column in Powerpoint 2013 table
Solution 1:
If you right click on the row or column you want to insert before, you see the context menu which has insert and delete options. Selecting the appropriate one of those gives you the columns/rows left/right or above/below. See picture. This at least means you don't have to go to the ribbon.
The only shortcut key for table row insertion I know is TAB, which adds one row on the end of a table if you happen to be in the last cell of the table.
Solution 2:
Alt+J, L, V = insert above
Alt+J, L, E = insert below
Alt+J, L, L = insert left
Alt+J, L, I = insert right
Note that the last letter in each shortcut sequence is contained within the direction word that it refers to.