There’s a newer, easier method to root your Galaxy Tab 10.1 instead the old method.
This one is pretty simple.
First, you will need Windows computer. If you don’t have one, borrow a Windows laptop from your friend or family member.
Second, make sure you’ve installed Galaxy Tab 10.1 Windows drivers. (Download it here)
Third, put your Galaxy Tab 10.1 into ODIN download mode by holding down both Power Button a