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of U, the set 6 of all linear combinations of vectors in S) is a subspace of U, called
the subspace spanned by the set $). It is the smallest subspace of U containing
all vectors in $). The set 5) may be finite or infinite, but a linear combination (see ...
If x is a linear operator in U, then the matrices of x relative to the two bases are
related by equation (110) in which P is the transition matrix from the E- to the F-
basis. AriF> and /lr</0 have the same determinant. Thus det AJi:)\s independent
GEOMETRIC PRINCIPLES; ANALYSIS OF LINEAR OPERATORS As already
noted, linear functional analysis aims to exploit the formal similarity that exists
between addition of functions and addition of vectors in two, three, and more ...
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This is the 198215th Edition, in two halves, with the Macropaedia and the Micropaedia. First published in 1768, the publisher is the oldest English-language encyclopedia still in print. Two Scottish ... Read full review
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For virtually all its 238 years,Britannica has ruled the shelves as a peerless general encyclopedia. Reviewers have consistently given it high marks for most of the 12 criteria identified inKister's ... Read full review