Page 110 - Linear Algebra Done Right
P. 110
Chapter 6
Inner-Product Spaces
In making the definition of a vector space, we generalized the lin-
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3
ear structure (addition and scalar multiplication) of R and R .We
ignored other important features, such as the notions of length and
angle. These ideas are embedded in the concept we now investigate,
inner products.
Recall that F denotes R or C.
Also, V is a finite-dimensional, nonzero vector space over F.
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