Consider the following vectors u and v in the complex inner product space e2 Compute (u, v), llull and llvll. d{u, v). Determine whether u and v are orthogonal. (a) u = ( 1 + 4i, 1 + i), v = ( 1 + i, -4 + i) (b) u = (2 + 7i, 1 + i), v = (3 - 4i, 2 + Si) (c) u = ( 1 - 3i, 1 + i), v = (2 - i, Si) (d) u = (3 + i, 2 + 2i), v = (2 + i, -2 + i)

EIGHTH EDITION Fundamentals of Differential Equations This page intentionally left blank EIGHTH EDITION Fundamentals of Differential Equations R. Kent Nagle Edward B. Saff Vanderbilt University Arthur David Snider University of South Florida Addison-Wesley Boston Columbus Indianapolis New York San Francisco Upper Saddle River Amsterdam Cape Town Dubai London Madrid Milan Munich Paris Montreal Toronto Delhi Mexico City Sao Paulo Sydney Hong Kong Seoul Singapore Taipei Tokyo Publisher Greg Tobin Editor in Chief Deirdre Lynch Senior Acquisitions Editor William Hoffman Spon