Algebraic Matrix Complement

Hauv kev tshaj tawm no, peb yuav txiav txim siab lub ntsiab lus thiab cov khoom ntawm algebraic ntxiv ntawm matrix, muab cov qauv uas nws tuaj yeem pom, thiab tseem tshuaj xyuas tus piv txwv kom nkag siab zoo dua ntawm cov khoom siv theoretical.

Cov ntsiab lus

Txhais thiab nrhiav tau ntawm algebraic ntxiv

Algebraic ntxiv Aij rau element aij tus txiav txim nth xaj yog tus lej Aij = (-1)kuv + j MijQhov twg M - qhov no yog.

Piv txwv li

Xam cov algebraic ntxiv A32 к a32 tus txhais hauv qab no:

Algebraic Matrix Complement

tshuaj

Algebraic Matrix Complement

Algebraic Complement Properties

1. Yog tias peb suav cov khoom ntawm cov ntsiab lus ntawm txoj hlua arbitrary thiab cov algebraic ntxiv rau cov ntsiab lus ntawm txoj hlua i determinant, peb tau txais ib qho kev txiav txim uas tsis yog txoj hlua i muaj ib txoj hlua muab arbitrary.

Algebraic Matrix Complement

2. Yog tias peb suav cov khoom ntawm cov khoom ntawm cov kab (kem) ntawm tus txiav txim thiab cov algebraic ntxiv rau cov ntsiab lus ntawm lwm kab (kem), ces peb tau xoom.

Algebraic Matrix Complement

3. Qhov sib npaug ntawm cov khoom ntawm cov khoom ntawm cov kab (kem) ntawm tus txiav txim thiab cov algebraic ntxiv rau cov ntsiab lus ntawm kab muab (kem) yog sib npaug rau qhov txiav txim ntawm matrix.

Algebraic Matrix Complement

Sau ntawv cia Ncua