I-Algebraic Matrix Complement

Kulolu shicilelo, sizocubungula incazelo nezakhiwo ze-algebraic complement ye-matrix, sinikeze ifomula engatholakala ngayo, futhi sihlaziye nesibonelo ukuze sikuqonde kangcono okokusebenza kwethiyori.

Incazelo nokutholwa kokuhambisana kwe-algebra

Ukwengezwa kwe-algebraic A_ij kusici a_ij umhloli ni-oda inombolo A_ij = (-1)^{ngi + j} M_ijkuphi M - lokhu .

Isibonelo

Bala umphelelisi we-algebraic A₃₂ к a₃₂ definer ngezansi:

Isixazululo

I-Algebraic Complement Properties

1. Uma sihlanganisa imikhiqizo yezakhi zeyunithi yezinhlamvu engafanele kanye nezengezo ze-algebra kuzakhi zentambo i i-determinant, sithola i-determinant lapho esikhundleni seyunithi yezinhlamvu i kukhona iyunithi yezinhlamvu enikeziwe.

2. Uma sihlanganisa imikhiqizo yezakhi zomugqa (ikholomu) ye-determinant kanye nezengezo ze-algebraic ezakhiweni zomunye umugqa (ikholomu), khona-ke sithola i-zero.

3. Isamba semikhiqizo yezinto zomugqa (ikholomu) yesihlukanisi kanye nesengezo se-algebraic ezingxenyeni zomugqa onikeziwe (ikholomu) silingana nesihlukanisi se-matrix.