# connected $\Rightarrow$ path connected?

Well, so far, I have noticed that whenever a matrix lie group is connected it is path connected, so is it true that in matrix lie group connected $\Rightarrow$ path connected?If yes, could anyone tell me where I can get the proof?or if some one tell me the sketch of the proof. Thank you.

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@QiaochuYuan That looks like an answer to me ... –  Neal Nov 1 '12 at 4:20