V linijnij algebri nulova matricya matricya vsi elementi yakoyi rivni nulyu Prikladi nulovih matric 0 1 1 0 0 2 2 0 0 0 0 0 2 3 0 0 0 0 0 0 displaystyle 0 1 1 begin bmatrix 0 end bmatrix 0 2 2 begin bmatrix 0 amp 0 0 amp 0 end bmatrix 0 2 3 begin bmatrix 0 amp 0 amp 0 0 amp 0 amp 0 end bmatrix Viznachennya RedaguvatiMnozhina m n matric z elementami z kilcya K utvoryuye modul K m n displaystyle K m n Nulova matricya 0 K m n displaystyle 0 K m n in K m n displaystyle K m n matricya vsi elementi yakoyi rivni 0 K displaystyle 0 K de 0 K displaystyle 0 K nulovij element kilcya K 0 K m n 0 K 0 K 0 K 0 K 0 K 0 K 0 K 0 K 0 K m n displaystyle 0 K m n begin bmatrix 0 K amp 0 K amp cdots amp 0 K 0 K amp 0 K amp cdots amp 0 K vdots amp vdots amp amp vdots 0 K amp 0 K amp cdots amp 0 K end bmatrix m times n Nulova matricya ye aditivnim odinichnim elementom u K m n displaystyle K m n Tobto dlya dovilnoyi matrici A K m n displaystyle A in K m n vikonuyetsya 0 K m n A A 0 K m n A displaystyle 0 K m n A A 0 K m n A Nulova matricya ye matriceyu linijnogo peretvorennya sho perevodit dovilnij vektor u nulovij vektor Div takozh RedaguvatiOdinichna matricya Matricya odinicL thtkf RedaguvatiGantmaher F R Teoriya matric 5 e M Fizmatlit 2010 559 s ISBN 5 9221 0524 8 ros Weisstein Eric W Zero Matrix angl na sajti Wolfram MathWorld Otrimano z https uk wikipedia org w index php title Nulova matricya amp oldid 36887377
