Why does my car have no power at all?

I was at the store parking lot and was ready to leave. I tried to start the car. At the first click the dashboard lights came on but when I tried to turn it over the power just turned off ( all power lights, clock, etc.).
Thought it was a bad battery and had it jumped start to no avail. Bought new batteries at AutoZone and still nothing.

The alternator is dead

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