Phetoho ea matrix

Khatisong ena, re tla hlahloba hore na phetoho ea matrix e etsoa joang, re fane ka mohlala o sebetsang oa ho kopanya thepa ea theory, hape re thathamise thepa ea ts'ebetso ena.

Matrix Transposition Algorithm

Phetoho ea matrix ketso e joalo ho eona e bitsoa ha mela le litšiea tsa eona li khutlisetsoa morao.

Haeba matrix a mantlha a na le notation A, joale transposed hangata e hlalosoa e le A^T.

mohlala

Ha re fumane matrix A^Thaeba ea pele A e shebahala joalo:

Qeto:

Matrix transposition properties

1. Haeba matrix e fetisoa habeli, joale qetellong e tla tšoana.

(A^T)^T =A

2. Ho fetisa kakaretso ea matrices ho tšoana le ho akaretsa matrices a transposed.

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

3. Ho fetisa sehlahisoa sa matrices ho tšoana le ho atisa matrices a transposed, empa ka tatellano e fapaneng.

(HO TSOA)^T =B^T A^T

4. Ho ka ntšoa scalar nakong ea phetoho.

( λA)^T = λA^T

5. Sekhetho sa matrix a transposed se lekana le se khethollang sa mantlha.

|A^T| = |A|