Untap your bluray to it utmost

If I have a bluray file in mkv format, will I be able to run it on my HDTV if I connect it from my laptop? I know you can, but I want to know if it will specifically work with this laptop: http://www.newegg.com/product/product.as…

and the HDTV is a Sony 32XBR6, which is a 32 inch LCD screen, with 1080 resolution but 60hz refresh rate.

I was looking to buy the laptop that I provided in the link, but I’m unsure if it’ll play bluray files onto my HDTV if it doesn’t have a bluray drive. It does have HDMI output, and can run HD movies.
edit: proper link is
http://www.newegg.com/Product/ProductReview.aspx?Item=N82E16834147923

By: laymonaise