My LED strip lights just went boom, how to diagnose?
Typically, LED lights are Diodes which are sensitive to polarity (+ vs -) you can blow them if you connect incorrectly or if you over-power the circuit. Other than that, a LED strip is typically quite robust. 

My guess is that the power source has blown, (since the leds will require a DC input. You can check this by connecting a 12v battery directly to the LED strip (do you have access to the led wires?)