What are transportation options from Matsumoto to Nagoya? I was planning to take the train but it costs 12000 yen. Hope to hear from you.
I checked the train prices for you, and for one person a ride between Matsumoto and Nagoya should only be 5,510 yen (using non-reserved seating). You can see an example of fares here on the Hyperdia Website.
Another option would be to take the bus between Matsumoto and Nagoya. The Alpico Bus company services eight buses between Matsumoto and Nagoya daily. The bus costs between 2,600 to 4,930 yen one way. See here for more information.
I hope that helps answer your question. Let me know if I can help you with anything else!