This Prelude by Matteo Carcassi comes from his "Method for the Guitar, Opus 59. It is an introductory piece of arpeggios in the key of E minor. Although very brief - it is only 8 measures - the harmonic design is quite elegant.
This video is presented in 3-View video format, with concert, left and right hand views of the entire piece. This music is from Jeffrey Goodman's A Beginner's Guide to the Classical Guitar, and is found on page 130.