LED 5050 Strip

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I have a 5050 RGB LED strip behind the projector screen of my home theater. It came with an IR remote. I want to change the stock controller that came with it and replace it with an RF controller.

This LED strip I purchased.
>http://www.amazon.com/LEDMO-300-Piece-Remote-Control-Supply/dp/B014KXAI8G/ref=pd_nav_hcs_bia_i_1?ie=UTF8&refRID=0QGS7P10KPTC9XPMZJ4B

A typicla RF controller that I want to use to replace the stock IR controller that came with my LED strip
>http://www.amazon.com/RGBZONE-5V-24V-Control-Wireless-Controller/dp/B0144CIMSQ?ie=UTF8&psc=1&redirect=true&ref_=ox_sc_act_title_1&smid=A3H1S8HVHBGDBK

Here is my question. The RGB LED strip I purchased is rated at "3*2A" (6 amp /3 channel). All of the RF controllers that I can find are all "3*4A" (12 amp / 3 channel). The RF controllers are nearly twice the amps of the RGB strip I purchased, but the power supply that came with my 5050 RGB LED is only 5 amps. If I plug a 4 amp per channel (12 amps / 3 channels) controller into an RGB LED strip that is 2 amps per channel (6 amps / 3 channels), will I blow out the lights in my LED strip or will the RF controller break?

>/stupid question
>>>/g/54849539