Adjective
Definition: showing impressive knowledge about a subject.
I encountered this word while reading Waterfront: A Walk Around Manhattan by Philip Lopate.
I still don’t understand how the word is being used because it says in the text ” If the Brooklyn Bridge began as a magisterial, solitary alpine range…” Is it saying that the Brooklyn Bridge has an impressive knowledge about itself being a bridge?
Source:http://www.merriam-webster.com/dictionary/magisterial
Take a look at definition 1a, particular part 2. Does that help you understand the way Lopate uses the word?