Summary: ELEC 302 HW #1:Solution
Problem [1]. Given are the matrices listed below. Find their singular value decompositions (i.e. determine the
singular values, right/left singular vectors) and compute the rank one approximations, which are optimal in the
2-norm. Use paper and pencil.
A1 =


1 0
0 2
0 0

, A2 =
6 3
-1 2
, A3 =
2 3
0 2
, A4 =

Source: Antoulas, Athanasios C. - Department of Electrical and Computer Engineering, Rice University

Collections: Engineering