Kusintha kwa matrix

M'bukuli, tiwona momwe kusintha kwa matrix kumapangidwira, perekani chitsanzo chothandiza kuti aphatikizire zinthu zongopeka, ndikulembanso zomwe zachitika.

Matrix Transposition Algorithm

Kusintha kwa matrix chochita choterocho pa icho chimatchedwa pamene mizere yake ndi mizati yatembenuzidwa.

Ngati matrix oyambirira ali ndi notation A, ndiye kuti transposed nthawi zambiri amatchulidwa kuti A^T.

Mwachitsanzo

Tiyeni tipeze masanjidwewo A^Tngati choyambirira A zikuwoneka choncho:

Kusankha:

Matrix transposition properties

1. Ngati masanjidwewo asinthidwa kawiri, ndiye kuti pamapeto pake adzakhala chimodzimodzi.

(A^T)^T =A

2. Kupereka chiwerengero cha matrices ndi chimodzimodzi ndi kufotokoza mwachidule matrices osinthidwa.

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

3. Kutumiza katundu wa matrices ndi chimodzimodzi kuchulukitsa matrices transposed, koma motsatira dongosolo.

(KUCHOKERA)^T =B^T A^T

4. A scalar akhoza kutulutsidwa panthawi ya kusintha.

( λA )^T = λA^T

5. Chodziwikiratu cha masanjidwewo ndi chofanana ndi choyimira choyambirira.

|A^T| | = |A|