Hom matrices nrog piv txwv

Hauv kev tshaj tawm no, peb yuav txiav txim siab seb hom matrices muaj nyob, nrog rau lawv nrog cov qauv siv los ua kom pom cov khoom siv theoretical nthuav tawm.

Rov qab qhia qhov ntawd Matrix - Qhov no yog ib yam ntawm cov rooj plaub uas muaj cov kab thiab kab uas muaj cov ntsiab lus.

Hom matrices

1. Yog hais tias lub matrix muaj ib kab, nws yog hu ua kab vector (los yog matrix-kab).

Piv txwv li:

Hom matrices nrog piv txwv

2. Lub matrix uas muaj ib kem hu ua kab vector (los yog matrix-kem).

Piv txwv li:

Hom matrices nrog piv txwv

3. square yog ib tug matrix uas muaj tib tus naj npawb ntawm kab thiab kab, piv txwv li m (cov hlua) sib npaug n (kum). Qhov loj ntawm matrix tuaj yeem muab raws li n x n or m x mQhov twg m (n) – nws order.

Piv txwv li:

Hom matrices nrog piv txwv

4. Xoom yog ib tug matrix, tag nrho cov ntsiab ntawm uas yog sib npaug zos rau xoom (aij = 0).

Piv txwv li:

Hom matrices nrog piv txwv

5. Kab pheeb ces kaum yog ib tug square matrix nyob rau hauv uas tag nrho cov ntsiab lus, tshwj xeeb ntawm cov nyob rau hauv lub ntsiab kab pheeb ces kaum, yog sib npaug zos rau xoom. Nws yog ib txhij sab sauv thiab sab triangular.

Piv txwv li:

Hom matrices nrog piv txwv

6. tib yog ib hom kab pheeb ces kaum matrix uas tag nrho cov ntsiab lus ntawm lub ntsiab kab pheeb ces kaum sib npaug rau ib. Feem ntau denoted los ntawm tsab ntawv E.

Piv txwv li:

Hom matrices nrog piv txwv

7. Upper daim duab peb sab - tag nrho cov ntsiab lus ntawm matrix hauv qab kab pheeb ces kaum yog sib npaug rau xoom.

Piv txwv li:

Hom matrices nrog piv txwv

8. daim duab peb sab qis yog ib tug matrix, tag nrho cov ntsiab lus uas yog sib npaug zos rau saum lub ntsiab kab pheeb ces kaum.

Piv txwv li:

Hom matrices nrog piv txwv

9. sawv yog ib tug matrix uas cov hauv qab no tej yam kev mob txaus siab:

  • Yog hais tias muaj ib tug null kab nyob rau hauv lub matrix, ces tag nrho lwm cov kab hauv qab nws yog null.
  • yog tias thawj qhov tsis yog null ntawm ib kab tshwj xeeb yog nyob rau hauv ib kem nrog tus lej ordinal j, thiab kab tom ntej no tsis yog null, ces thawj qhov tsis yog null ntawm kab tom ntej yuav tsum nyob rau hauv ib kem nrog tus lej ntau dua j.

Piv txwv li:

Hom matrices nrog piv txwv

Sau ntawv cia Ncua