I'd start with checking for shorts. Set you multimeter to conductivity, then put one probe on whatever the LEDs are mounted to, and the other probe on a positive and negative solder pad of each LED. If it beeps, you have conductivity which is bad, you'll have to figure out how and why the connection is being made from the LED to the mounting surface.
Next I'd set the multimeter to check voltage @ 20amps. Put the probes on the positive and negative leads coming out of the driver. Obviously the LED string needs to be powered. Is it giving you voltage? Depending on the driver, it should be anywhere between 12 and 24v. If you don't get voltage, you know that the problem lies with the driver or somewhere ahead of it.
If the driver is putting out voltage, put one probe on the positive side of your first LED, and the other probe on the negative side of your last LED. If this is good, the the connection between your driver and LEDs is good.
Next, use the multimeter in conductivity mode again, and this time test the connection from one LED to the next starting with your first one. If the connection from LED 1 to LED 2 goes positive then negative, our the probes on the positive of #1 and the other probe on the negative of #2. This will check if you have a good connection between the two. Test all the way down the string like this.
If all this seems ok, then use the Diode setting on the multimeter and check each LED. The diode symbol looks like a sideways triangle with a line next to it.
Sorry if my explanation seems elementary, I don't know how versed you are in this stuff.
kevin