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Adunarea Matricelor

Adunarea Matricelor. Boncutiu Ioana Grama Madalina. “Numerele guverneaza lumea. " - Pitagora. Adunarea matricelor

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Adunarea Matricelor

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  1. Adunarea Matricelor

  2. Boncutiu Ioana • Grama Madalina

  3. “Numerele guverneaza lumea. " - Pitagora

  4. Adunarea matricelor • Fie matricele A,B E Mm,n (C),unde A=(aij)mxn si B=(bij)mxn se numeste suma matricelor A si B matricea C=(cij)mxn ale carei elemente suna data egalitatile cij=aij+bij pentru oricare iE{1,2,…,m} si j={1,2,…,n}.

  5. Proprietati ale adunarii :  • 1.Asociativitatea adunării. Adunarea matricelor este asociativă adica:

  6. 2.Comutativitatea adunării. Adunarea matricelor este comutativă, adică:

  7. 3.Element neutru. Adunarea matricelor admite matricea nula ca element neutru, adica astfel incat .

  8. 4.Elemente opuse.Orice matrice are un opus,notat –A ,astfel încat

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