Led strip is 6A and trans is 9A.
Be careful. Measure the output voltage, and make sure the lights are only seeing 12V after the rectifier. Cheap transformers often output much more voltage on low loads- and you LEDs will BE a low load. Too high a voltage, and your LEDs will fail from overcurrent
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I would have to say yes. my reasoning is if you hooked up the led strip up to a 12v car battery it would work because it would only draws 6A even though the battery puts out much more. I believe the same would be true for the transformer.
assuming both are dc current
What's the input on that transformer? If it;s AC then you'll need a bridge rectifier so you will get DC from the transformer. Also some smoothing caps would be good.