I have a 2003 toyota corolla. My AC would blow cold air for a min or two then when the compressor shut off it would no longer blow cold air or come back on. A new compressor was put in it but it did not fix the problem. Any clue what it might be.

The ac clutch relay is the problem. It is located in the under hood fuse box. It is a $10 part. The relay will make a clicking sound when activated but the contacts inside are burnt causing no electrical flow to the ac compressor. Simply unplug and replace. The relay is labeled M/G CLT .

replace or blow out the cabin air filter as well. It is located behind the glove box. Instructions are in your owners manual.