Did Ariel Burdett teach Matt Tuck?

Probably not. Consider the following:

1). Matt Tuck started his first band in 1998. At that point Ariel would have been about 16 and almost certainly not a processional vocal trainer.

2). Matt Tuck received vocal training from well-known coach Melissa Cross. See her client list at the following link:

http://www.melissacross.com/home.php?

3). On Ariel's Myspace page, she is neither friends with Matt Tuck nor BFMV... and for that matter, there is no mention there of her even being a vocal coach, holistic or otherwise.