Samsung Galaxy tab 10.1 stuck on boot screen (bricked)
There is only one possible way to restore your device after unmounting system and/or bricking it.

And that is to flash (via Odin) the original stock firmware in a file named : PDA_HC31_EG01Ba_AP352081user_CP1033580_LTE20110704_0708.tar

Nothing else will work. Only this one file will be able to unbrick this device.

The procedure is quite easy.

On the device


Hold volume up + Power 
Select Odin mode (right icon)
Connect USB to device and computer


On the computer


Download and run Odin 1.85 (This is important because diff versions of Odin support diff files)
Check off PDA and select the above tar file
Click start (3 boxes should be checked, 2 default and PDA)


The Odin software will then transfer the stock firmware to the device and shut off when the transfer is finished. User must boot up the device again. When the device boots up, it will automatically install the firmware. The device is now officially unbricked.