Matrix transposition

A cikin wannan ɗaba'ar, za mu yi la'akari da yadda ake yin matrix transposition, ba da misali mai amfani don ƙarfafa ka'idar, da kuma jera kaddarorin wannan aikin.

Matrix Transposition Algorithm

Matrix transposition Ana kiran irin wannan aiki akansa idan aka juya layuka da ginshiƙansa.

Idan matrix na asali yana da sanarwa A, sa'an nan kuma transposed yawanci ana nuna shi azaman A^T.

Example

Bari mu nemo matrix A^Tidan na asali A yayi kama da haka:

Yanke shawara:

Matrix transposition Properties

1. Idan matrix yana canzawa sau biyu, to, a ƙarshe zai kasance iri ɗaya.

(A^T)^T = A ba

2. Yin jujjuya jimlar matrices iri ɗaya ne da tara matrices ɗin da aka juye.

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

3. Canja samfurin matrices daidai yake da ninka matrices da aka juye, amma a cikin tsari na baya.

(DAGA)^T =B^T A^T

4. Za'a iya fitar da scalar yayin jujjuyawa.

(A)^T = A^T

5. Ƙididdigar matrix ɗin da aka canza shi daidai ne da ƙaddarar ainihin ɗaya.

|A^T| = |A|