Connecting to gmail simultaneously from different computers?

If i am logged to gmail from 2 different computers at the same time and my chat status is visible on one, can i change that status on other computer a

If i am logged to gmail from 2 different computers at the same time and my chat status is visible on one, can i change that status on other computer and become invisible?

or:If i am logged to gmail from 2 different computers at the same time and my chat status is visible on one, can i change that status on other computer and become invisible?

or:You should be able to. I'll try that tonight.

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