Te whakawhiti matrix

I roto i tenei whakaputanga, ka whai whakaaro tatou me pehea te mahi whakawhiti matrix, ka hoatu he tauira whai kiko hei whakakotahi i nga rawa ariā, me te whakararangi hoki i nga ahuatanga o tenei mahi.

Matrix Transposition Algorithm

Te whakawhiti matrix ka kiia he mahi pera i runga i taua mahi ina whakataka ona rarangi me ona pou.

Mena kei te matrix taketake te tohu A, katahi ka kiia ko te whakawhiti A^T.

tauira

Kia kimihia te matrix A^Tmehemea ko te taketake A penei te ahua:

Te whakatau:

āhuatanga whakawhiti matrix

1. Mena ka hurihia te matrix kia rua, ka mutu ka rite tonu.

(A^T)^T =A

2. Ko te whakawhiti i te tapeke o nga matrices he rite ki te whakahiato i nga matrices whakawhiti.

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

3. Ko te whakawhiti i te hua o nga matrices he rite tonu ki te whakarea i nga matrices kua whakawhiti, engari ki te raupapa whakamuri.

(MAI)^T =B^T A^T

4. Ka taea te tango i te scalar i te wa whakawhiti.

(A)^T = λA^T

5. Ko te whakatau o te matrix whakawhiti he rite ki te whakatau o te mea taketake.

|A^T| = |A|