Welcome to the Humminbird Side imaging Forums fishreed. 
No, your Matrix 97 is not compatible with the 408920-1 AS-GRP GPS Receiver.  It requires software version 6.300 or higher and the last software update for the Matrix 97 was 4.750. 
A new GR50 GPS Receiver (or a GR16 if you can still find one) will work with your Matrix 97 unit.