Formula rau sab sauv daim duab peb sab?

2024 Tus sau: Fiona Howard | [email protected]. Kawg hloov kho: 2024-01-10 06:38

A matrix A=(aij)∈Fn×n is called up triangular if aij=0 for i>j.

Dab tsi yog daim duab peb sab sab sauv nrog piv txwv?

Ib qho duab peb sab sab sauv yog daim duab peb sab matrix nrog tag nrho cov ntsiab lus sib npaug hauv qab kab pheeb ces kaum. Nws yog square matrix nrog lub ntsiab aij qhov twg aij=0 rau tag nrho j < i. Piv txwv li 2 × 2 matrix. Lus Cim: Cov duab peb sab saum toj yog cov square matrices nruj me ntsis.

Qhov twg ntawm matrix yog daim duab peb sab sab sauv?

Nyob rau hauv lej kev qhuab qhia ntawm linear algebra, daim duab peb sab matrix yog ib yam tshwj xeeb ntawm square matrix. Lub square matrix yog hu ua daim duab peb sab yog tias tag nrho cov nkag saum toj no lub ntsiab kab pheeb ces kaum yog xoom. Ib yam li ntawd, a square matrix yog hu ua daim duab peb sab sab saud yog tias tag nrho cov nkag hauv qab ntawm kab pheeb ces kaum yog xoom.

piv txwv ntawm daim duab peb sab yog dab tsi?

Hauv lwm lo lus, lub square matrix yog sab sauv daim duab peb sab yog tias tag nrho nws cov khoom nkag hauv qab kab pheeb ces kaum yog xoom. Piv txwv ntawm 2 × 2 sab sauv daim duab peb sab: A square matrix nrog cov ntsiab lus s_ij=0 rau j > i yog termed qis triangular matrix.

Scalar matrix nrog piv txwv yog dab tsi?

Lub scalar matrix yog square matrix nyob rau hauv uas tag nrho cov off-diagonal ntsiab yog xoom thiab tag nrho cov on-diagonal ntsiab yog sib npaug. … Piv txwv li, (−300−3)=−3I2×2, (500050005)=5(100010001)=5I3 yog scalar matrices.