The New Encyclopędia Britannica: L-ZEncyclopędia Britannica, 1992 - 32 pages |
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Page 263
... Linear algebra is concerned primarily with finite - dimensional vector spaces . Although many of the theorems of linear algebra can be generalized to infinite- dimensional spaces , in order to do so it is usually neces- sary to ...
... Linear algebra is concerned primarily with finite - dimensional vector spaces . Although many of the theorems of linear algebra can be generalized to infinite- dimensional spaces , in order to do so it is usually neces- sary to ...
Page 264
... linear operators in 11 then 70 and σ7 are also linear operators in l . στ The isomorphism a : L ( U , W ) → [ F ] maps im T onto the column space of AE , F ) and hence rank 7 = rank AE , F ) . Also a maps the nullspace of 7 onto the ...
... linear operators in 11 then 70 and σ7 are also linear operators in l . στ The isomorphism a : L ( U , W ) → [ F ] maps im T onto the column space of AE , F ) and hence rank 7 = rank AE , F ) . Also a maps the nullspace of 7 onto the ...
Page 516
... LINEAR OPERATORS As already noted , linear functional analysis aims to ex- ploit the formal similarity that exists between addition of functions and addition of vectors in two , three , and more dimensions and , accordingly , tends to ...
... LINEAR OPERATORS As already noted , linear functional analysis aims to ex- ploit the formal similarity that exists between addition of functions and addition of vectors in two , three , and more dimensions and , accordingly , tends to ...
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