Matrix transposition

Muchinyorwa chino, tichaona kuti matrix transposition inoitwa sei, topa muenzaniso unoshanda wekubatanidza iyo theoretical zvinhu, uye zvakare kunyora zvimiro zvekuvhiya uku.

gutsikana

Matrix Transposition Algorithm

Matrix transposition chiito chakadaro pairi chinodanwa kana mitsara nemakoramu zvadzoswa.

Kana iyo yekutanga matrix ine notation A, ipapo iyo yakachinjirwa inowanzo rehwa se AT.

muenzaniso

Ngatitsvagei matrix ATkana yepakutanga A zvinoita sekudaro:

Matrix transposition

Sarudzo:

Matrix transposition

Matrix transposition properties

1. Kana iyo matrix ikashandurwa kaviri, ipapo pakupedzisira ichave yakafanana.

(AT)T =A

2. Kuendesa huwandu hwematrices kwakafanana nekupfupikisa matrices anopfuudzwa.

(A+B)T =AT +BT

3. Kuchinjisa chigadzirwa chematrices kwakafanana nekuwanza matrices akachinjirwa, asi mune reverse order.

(KUBVA)T =BT AT

4. A scalar inogona kutorwa kunze panguva yekushandura.

(λA)T = λAT

5. Chirevo cheiyo transposed matrix yakaenzana neinotemerwa yeiyo yekutanga.

|AT| = |A|

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