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Prof.Blaga Cornelia

CALCULUL INVERSEI UNEI MATRICE. Prof.Blaga Cornelia. 1.Ce înţelegem prin t ranspusa unei matrice? 2.Ce numim minor al elementului unei matrice? 3 . Ce numim complement algebric al unui element al matricei A?. RECAPITULARE.

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Prof.Blaga Cornelia

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  1. CALCULUL INVERSEI UNEI MATRICE Prof.Blaga Cornelia

  2. 1.Ce înţelegem prin transpusa unei matrice? 2.Ce numim minor al elementului unei matrice? 3. Ce numim complement algebric al unui element al matricei A? RECAPITULARE

  3. Definitie 1.O matrice patratica a se numeste nesingulara (singulara) daca det A este nenul (det A = 0).2.Matricea a se numeste inversabila daca exista o alta matrice notata A -1 astfel ca: AA -1 A = -1. A = I n .Inversa unei matrice patratice exista daca si numai daca det A estenenul , iar daca exista aceasta este UNICA. 1. Se calculeaza det A = d. (d nenul atunci se trece mai departe, daca Nu spunem ca matricea A nu admite inversa) 2. Se scrie transpusa matricii A 3.Se scrie matricea adjuncta corespunzatoare matricei A: A *= matricea complementilor algebrici PENTRU transpusa lui A.  4.Scrierea matricei inverse. Calculul inversei unei matrice

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