Matterhorn by hiking

We have a car, and can drive to Tasch.
From there the train to Zermatt is around 15 CHF return(max).
We were thinking of riding train to zermatt, and then hiking to some point where we can see matterhorn or glaciers.
Can you suggest a hike.
Alternatively, if there is some other place to view matterhorn from apart from zermatt, up close and personal, that will also be good.
Gorgernat is good, but expensive, so zermatt hike would be a good idea.

Hi tsk1979! There are several viewing points in and around Zermatt, offering a great view of the Matterhorn. The Gornergrat is one of them and yes, it's expensive, but the train ride is spectacular and so is the panoramic view at the top. Cheaper options are viewing point Sunnegga or railway station Riffelalp (about halfway up to the Gornergrat). Hiking from Rotenboden to Riffelalp or from Riffelalp to Sunnegga may just be what you're looking for. Have fun!

Yes, Riffealp is great, just opposite of the Matterhorn. There is an easy, but rather steep hike from Zermatt:
http://www.zermatt.ch/en/page.cfm/experience/summer_activities/hiking

Thanks for your replies.
We have planned 2 itenaries, and will be doing one of the following
1. Easier itenary
-Park at Tasch
-Train to Zermatt
-Return ticket for Sunegga
-Hike to 2-3 lakes (near Blauherd also) from sunnegga and try to capture reflection
-Take cable car back to Zermatt from sunnegga
- Walk back to Tasch along railway line

2. Tougher
- One way ticket to sunegga after reaching zermatt by train
-Hike through the lake trails to blauherd, and then walk all the way back to Tasch

Second itenary looks promising, but we do not want to hike more than 3-4 hours (11-12kms?)

Train to Rotenboden etc., is very expensive, so choosing sunegga platform+hiking