Let V be an inner product space. Show the following: (a) ||0||=0. (b) (u, 0) = (0,
Question:
(a) ||0||=0.
(b) (u, 0) = (0, u) = 0 for any u in V.
(c) If (u, v) = 0 for all v in V, then u = 0.
(d) If (u, w) = (v, w) for all w in V, then u = v.
(e) If (w, u) = (w, v) for all w in V, then u = v.
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Related Book For
Elementary Linear Algebra with Applications
ISBN: 978-0132296540
9th edition
Authors: Bernard Kolman, David Hill
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