Kev hloov ntawm matrix

Hauv kev tshaj tawm no, peb yuav xav txog yuav ua li cas hloov pauv matrix, muab piv txwv zoo los sib sau cov ntaub ntawv theoretical, thiab tseem sau cov khoom ntawm qhov haujlwm no.

Matrix Transposition Algorithm

Kev hloov ntawm matrix xws li ib qho kev txiav txim ntawm nws yog hu ua thaum nws kab thiab kab rov qab.

Yog hais tias tus thawj matrix muaj lub cim A, ces tus transposed feem ntau denoted li A^T.

Piv txwv li

Cia peb nrhiav cov matrix A^Tyog tus original A zoo li ntawd:

Kev txiav txim siab:

Matrix transposition zog

1. Yog hais tias lub matrix yog transposed ob zaug, ces thaum kawg nws yuav zoo li qub.

(A^T)^T =A

2. Transposing cov sum ntawm matrices yog tib yam li summing cov transposed matrices.

(A + B)^T =A^T + B.^T

3. Transposing cov khoom ntawm matrices yog tib yam li multiplying transposed matrices, tab sis nyob rau hauv rov qab txiav txim.

(los ntawm)^T =B^T A^T

4. Ib qho scalar tuaj yeem muab tshem tawm thaum hloov pauv.

(λA)^T = LA^T

5. Tus txiav txim siab ntawm transposed matrix yog sib npaug rau tus txiav txim ntawm tus thawj.

|A^T| = |A|