The symptom certainly suggest the LCD has failed however it may be the logic board. Try opening up and disconnect/reconnecting the connectors first.
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This is the [guide|3193|LCD replacement guide], The part is available [http://www.powerbookmedic.com/iPad-LCD-Display-Screen-p-17522.html|HERE]
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This is the [guide|3193|LCD replacement guide], The part is available [http://www.powerbookmedic.com/iPad-LCD-Display-Screen-p-17522.html|HERE]. According to the part suppler compatibility list, the same screen is useable across the model range.
The symptom certainly suggest the LCD has failed however it may be the logic board. Try opening up and disconnect/reconnecting the connectors first.
This is the [guide|3193|LCD replacement guide], The part is available [http://www.powerbookmedic.com/iPad-LCD-Display-Screen-p-17522.html|HERE]