Best view of the matterhorn?

My family and I are going to zermatt in September and we want to see the matterhorn. I did some research and found the best view is from a place called Gornergrat, and you have to take a train there. The problem is its over $400 for a round trip, but it only takes 30 min by train. Is there anyway to get there... show more My family and I are going to zermatt in September and we want to see the matterhorn. I did some research and found the best view is from a place called Gornergrat, and you have to take a train there. The problem is its over $400 for a round trip, but it only takes 30 min by train. Is there anyway to get there cheaper, or any cheaper alternative with a blew just as good?
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