Matrix sib npaug yog tsis sib piv.
Koj ua li cas qhia tias qhov sib npaug ntawm matrix tsis yog kev sib txuas?
Piv txwv li, qhov sib npaug ntawm cov lej tiag yog qhov sib piv vim seb peb sau ab lossis ba lo lus teb yeej ib txwm zoo ib yam. (I.e. 34=12 and 43=12). Yog li los qhia tias matrix multiplication tsis yog commutative peb tsuas yog yuav tsum muab ib qho piv txwv uas qhov no tsis yog qhov teeb meem. Qhov no yog hu ua disproof los ntawm counterexample
Puas yog matrix sib npaug ib txwm Abelian?
Cov teeb tsa Q + thiab R + ntawm cov lej zoo thiab cov teeb tsa Q∗, R∗, C∗ ntawm tus lej tsis suav hauv qhov sib npaug yog abelian pawg … Cov teeb Mn(R) ntawm tag nrho n × n tiag matrices nrog ntxiv yog ib pawg abelian. Txawm li cas los xij, Mn(R) nrog cov lej sib npaug tsis yog ib pab pawg (piv txwv li qhov xoom matrix tsis muaj inverse).
Puas yog qhov sib npaug ib txwm sib npaug?
Cov qauv lej thiab kev sib hloov pauv
Ib pawg sib txuas sib txuas yog ib qho teeb tsa uas muaj tag nrho, kev sib koom ua ke thiab kev sib koom ua ke. … (Ntxiv rau hauv ib lub nplhaib yeej ib txwm commutative.) Nyob rau hauv ib daim teb ob ntxiv thiab multiplication yog commutative.
Yuav ua li cas yog 2 piv txwv ntawm kev sib txuas lus?
Cov khoom sib txuas ntawm qhov sib ntxiv: Hloov qhov kev txiav txim ntawm cov khoom ntxiv tsis hloov cov lej. Piv txwv li, 4 + 2=2 + 4 4 + 2=2 + 4 4 + 2=2 + 44, plus, 2, sib npaug, 2, ntxiv, 4. Associative property of Ntxiv: Hloov cov pab pawg ntawm addends tsis hloov tus lej.
