Razlika između inačica stranice »Baza vektorskog prostora«

Izvor: Hrvatsko nazivlje u matematici
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|definicija=A basis of a vector space \( V \) is defined as a subset \( v_{1},...,v_{n} \) of vectors in \( V \) that are linearly independent and vector space span \( V \)
 
|definicija=A basis of a vector space \( V \) is defined as a subset \( v_{1},...,v_{n} \) of vectors in \( V \) that are linearly independent and vector space span \( V \)
 
|cite=Rowland, Todd. "Vector Space Basis." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/VectorSpaceBasis.html
 
|cite=Rowland, Todd. "Vector Space Basis." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/VectorSpaceBasis.html
|napomena=If \( (v_{1},v_{2},...,v_{n}) \) is a list of vectors in \( V \), then these vectors form a basis if and only if every \(v\) in \(V\) can be uniquely written as
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|napomena=
 
 
hdwuid \( v=a_{1} v_{1}+a_{2} v_{2}+...+a_{n} v_{n} \), where \( a_{1}, ..., a_{n} \) are elements of the base field.
 
 
|see_also=Basis, Dimension, Hilbert Basis, Linear Combination, Orthonormal Basis, Vector Space, Vector Space Span
 
|see_also=Basis, Dimension, Hilbert Basis, Linear Combination, Orthonormal Basis, Vector Space, Vector Space Span
 
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|primjeri=
 
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Inačica od 12:28, 9. srpnja 2016.

Skraćeni oblik: baza

Definicija: Svaki dvočlani skup \( \left \{ \overrightarrow{a},\overrightarrow{b} \right \} \) čiji su članovi nekolinearni naziva se baza vektorskog prostora \( V^{2}(O) \)

Definicija2: linearno nezavisni skup vektora koji razapinje cijeli vektorski prostor

Povezani pojmovi: vektorski prostor

Engleske istovrijednice: vector space basis


Struna ID: 30142

Obrađivač: Magdalena Igaly

Faza obrade: zaključaj naziv

Vrsta riječi: imenica Rod: ženski Broj: jednina


Cilj projekta "Hrvatsko nazivlje u matematici" je na jednom mjestu prikupiti i obraditi sve hrvatske nazive koji na izravan ili neizravan način imaju veze s matematikom. Ako želite na bilo koji način doprinijeti ostvarenju ciljeva ovog projekta, molim javite se voditelju projekta na adresu goran.igaly@math.hr


Traženi pojmovi



WMW naziv: vector space basis

WMW klasifikacija: Algebra > Linear Algebra > Linear Independence > MathWorld Contributors > Renze > MathWorld Contributors > Rowland, Todd > Interactive Entries > Interactive Demonstrations >

WMW definicija: A basis of a vector space \( V \) is defined as a subset \( v_{1},...,v_{n} \) of vectors in \( V \) that are linearly independent and vector space span \( V \)


WMW See also: Basis, Dimension, Hilbert Basis, Linear Combination, Orthonormal Basis, Vector Space, Vector Space Span


Izvor: Rowland, Todd. "Vector Space Basis." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. http://mathworld.wolfram.com/VectorSpaceBasis.html

Struna ID: 30142