Scalar Products and Orthogonality

Rami Shakarchi

Chapter Chapter V in Solutions Manual for Lang’s Linear Algebra, 1996, pp 65-84 from Springer

Abstract: Abstract Let V be a vector space with a scalar product. Show that (O,v)=0 for all v in V. SOLUTION. We have (O,v)=(v-v,v)=(v,v)-(v,v)=0.

Keywords: Vector Space; Quadratic Form; Scalar Product; Bilinear Form; Orthogonal Basis (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1007/978-1-4612-0755-9_5

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