Hello and sorry you're having problems.
Offhand, an initial answer to your question is that this problem is VERY common with newer flat screen TV's and not exclusive to Samsung. It is not unreasonable to expect this TV to last much longer than 13 months however, but we see this issue FAR too often with sets from Samsung, Panasonic, LG, Sony, etc.
It is due to these sets all being manufactured for pennies on the pound/dollar to drive costs down for the manufacturers.
I may be able to help you repair this TV yourself, but I need to ask for more info.
1) Can you get me the mode number off of the back of the TV?
2) Are there any signs of life currently on the set (power light lit, or blinking, clicking sounds, etc.)?
If you need further assistance let me know. Please do not forget to click a POSITIVE RATING before you go- as it's how I am credited for my work. You can follow up at any time, at no additional cost.