operational amplifier - DC Op-Amp Output at an unexpected voltage?

For some reason Op-Amps are impossible for me. I'm experimenting with them a little bit. I have the following circuit...

^{simulate this circuit – Schematic created using CircuitLab}

This is the circuit I have on my breadboard. I was just trying to see the "infinite gain" I would expect from this configuration.

The inverting input is around 4.5v, while the non-inverting input is at ground. I should be achieving my maximum potential (Limited by the power rail.) I.E. around 9V at the output, but I'm recieving .6v?

Answer

You've connected your inputs backwards. A higher voltage on the non-inverting input produces a more positive output. You put the higher voltage on the inverting input, so the op amp output goes as low as it can. In this case, that's close to ground.