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Can I dim a safety isolating transformer?

I've just bought a string of LED fairy lights for a theatrical set. However they snap on and we'd like to fade them on. I'd love to plug them into a dimmer, but want to know if they will survive it?

The details on the back of the transformer are this:

Model Number: JT-240V0450
PRI: 240V - 50 Hz
SEC: 24V- 450mA, 10.8VA

Can anyone advise?
Laura, December 2013