Extend network using TC w/ non-Apple router

I have a wifi network right now running off a non-Apple router (Linksys I think, but I'm not home right now to check). The router is in the living room and I have no signal in my bedroom, which is where I would want to set up the TC. Can I set the TC up as a network extender and still use it for a Time Machine backup unit?

AirPort Time Capsule (2013)

AirPort Time Capsule (2013)

Product No Longer Available

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