Algebraic Matrix Complement

Muchinyorwa chino, tichatarisa tsananguro uye zvimiro zvealgebraic inozadzisa matrix, topa fomula iyo inogona kuwanikwa nayo, uye zvakare kuongorora muenzaniso kuti tinzwisise zviri nani zvinyorwa zvedzidziso.

Tsanangudzo uye kuwanikwa kwealgebraic complement

Algebraic kuwedzera A_ij ku element a_ij mugadziri nth order ndiyo nhamba A_ij = (-1)^{ini + j} M_ijapo M - ichi chi .

muenzaniso

Verenga mubatsiri wealgebraic A₃₂ к a₃₂ definer pazasi:

mhinduro

Algebraic Complement Properties

1. Kana tikaverengera zvigadzirwa zvezvinhu zvetambo inopokana uye algebraic yekuwedzera kune zvinhu zvetambo. i determinant, tinowana determinant umo pane tambo i pane tambo yakapihwa yekupopota.

2. Kana tikabatanidza zvigadzirwa zvezvinhu zvemutsara (column) yezvinogadzirisa uye zvinyorwa zve algebraic kune zvinyorwa zveimwe mutsara (column), zvino tinowana zero.

3. Nhamba yezvigadzirwa zvezvinhu zvemutsara (column) yezvinogadzirisa uye zvinyorwa zvealgebraic kune zvinyorwa zvemutsara wakapiwa (column) yakaenzana neinogadzirisa matrix.