ILTEOREMADI BINET(14/12/2016)Dusty bun note couture le dimothewne delta wine at Binet mldeterminant della matin fnedetto a parte delle difnum d-deteemsnento come nice fume multi linen e alternate he uele I sulkben canon.ae.TEIREMI CBINEI):#A,B€Rn×? Alertdet (AB) = det A. detBSupp. news in ndmute dit A t o.Delphi euro we funtme delle Calonne B,,..,Bn di B pseudoDII.

4 (Bi,.., Bn) = ¥ det CAB., ABZ,-., ABN)Orsennuue are y e-been depute, in queeto dettt to, eoheVeofhneme one che y i alternate, li were rsfeth allepnmecolonna (e qwndi nsflf a while altn, dope he xeuhi on le fume), erule 1 sulla base anomie. Per l' U N I UT At del determinate, wesgnwi snbito y (Be.-Bn) = det (B.nl#obtB, de wdet B =Loleta det(AB)he i later. In effelk':- saembneu due colome fugt argument' oh'compoteyAB = (AB, ABZ.-ABN)1)1

un ideutice saeiuho for quell aemspndeuti in detfa Be,-., ABN)e, di onsegneutetale determinate centre segue. Lottie;-y (Beth, Bz.. Bn) = La abt (ACBHBI), ABY..., ABN)=delle mnltilsneeilet del determinant),7)(= ftp.fdet/ABi,ABz,..,ABn)tdetlABi,ABz...,ABD==y(Be,..,Bn)+y[131,132,...,Bn)132,.Anebgemurt, sempn µ be multihued,YHB,, Bz,..., Bn) = ¥ det (AAB.), A Bz,..., ABN) == XIA eht CAB.,..., ABN) ? YCBN.-Bnl

Jnfin, delta li..eu lebon coronae, she:y la,..., en) =#det (Aee, Ah,-.-, Aen)e, ricndeude he Ae; = A; '(i-esme colome d' A), ne seguee later e-promote nel use det A t o.yca,..., eu) =LResto de proven le formula nil are det A = 0, e woesprone che oht A = o ? det (A B) = 0.Dettu A',..., An le sighed A, use some di pendent jade det A =o,e In we ne es ish revue b..-tu, non hlt milk, tee che EX i A'' = 0.One, le njhe di AB sow AB,-; AHB della pwpuete distributing§ ti (A''B) = (Fti Ai) B = 013=0. Poire qukhe Xi inn mills:ne rpm du At B,.., Ah B some d' pendent' e quint dettt B) =o.Eh23)1e,,