Final answer:
Switzerland is the country that boasts both the iconic Matterhorn and the Dom, which are part of the country's diverse Alpine landscape.
Step-by-step explanation:
The country that is home to both the Matterhorn and the Dom is Switzerland. These iconic mountains are part of the Alpine ranges that dominate the landscape of Switzerland, which is a landlocked country situated in the center of Europe. The Matterhorn is particularly famous for its pyramidal shape and remains one of the most recognizable peaks in the Alps. The Dom, on the other hand, is the highest mountain entirely within Switzerland. Sharing a border with Italy, Switzerland has a diverse linguistic heritage with four languages: German, French, Italian, and Romansh being spoken across its various cantons. Both the Matterhorn and the Dom are located in the canton of Valais, where French and German are the primary languages.