Algebraic Matrix Complement

A cikin wannan ɗaba'ar, za mu yi la'akari da ma'ana da kaddarorin madaidaicin algebra na matrix, mu ba da dabarar da za a iya samun ta da ita, sannan mu yi nazarin misali don ƙarin fahimtar kayan ka'idar.

Ma'anar da gano ma'anar algebraic

Ƙarin Algebra A_ij zuwa kashi a_ij mai ƙayyadewa noda shine lambar A_ij = (-1)^{ina + j} M_ijina M - wannan shi ne.

Example

Ƙirƙiri ƙididdigar algebraic A₃₂ к a₃₂ ma'anar ƙasa:

Magani

Algebraic Complement Properties

1. Idan muka taƙaita samfuran abubuwan abubuwan kirtani na sabani da ƙari na algebra a abubuwan da ke cikin kirtani. i Ƙaddamarwa, muna samun ƙididdiga a cikin abin da maimakon kirtani i akwai igiyar da aka ba ta sabani.

2. Idan muka taƙaita samfuran abubuwan da ke cikin layi (column) na ƙayyadaddun ƙayyadaddun ƙididdiga da ƙari na algebra zuwa abubuwan wani jere (column), to muna samun sifili.

3. Jimlar samfurori na abubuwan da ke cikin layi (column) na ƙaddarawa da algebraic kari zuwa abubuwan da aka ba da jere (shafi) daidai yake da ƙaddarar matrix.