Video: Puas yog matrix zoo ib yam li nws qhov kev hloov pauv?
2024 Tus sau: Miles Stephen | [email protected]. Kawg hloov kho: 2023-12-15 23:36
Cia li xav txog 2 x 2 matrix uas yog zoo ib yam li nws inverse tsis muaj kab pheeb ces kaum nkag yog 1 lossis -1. Diagonal matrices yuav ua. Yog li, A thiab thim rov qab ntawm A yog zoo sib xws , yog li lawv eigenvalues yog tib yam. Yog tias ib qho ntawm A's eigenvalues yog n, eigenvalues ntawm nws inverse yuav yog 1/n.
Kuj nug, puas yog matrix zoo ib yam li nws transpose?
Txhua square matrix tshaj ib daim teb yog zoo ib yam li nws transpose thiab txhua qhov square complex matrix yog zoo sib xws mus rau ib tug symmetrical complex matrix.
Ib yam li ntawd, tag nrho cov invertible matrices zoo sib xws? Yog A thiab B yog zoo sib xws thiab invertible , ces A-1 thiab B-1 yog zoo sib xws . Pov thawj. Txij li thaum tag nrho tus matrices yog invertible , peb tuaj yeem coj qhov hloov pauv ntawm ob sab: B–1 = (P–1AP)–1 = P–1A–1(P–1)–1 = P–1A–1P, yog li A–1 thiab B–1 yog zoo sib xws . Yog A thiab B yog zoo sib xws , yog li Ak thiab Bk rau ib qho k = 1, 2,.
Hais txog qhov no, lub matrix puas zoo ib yam li nws tus kheej?
Ntawd yog, Ib matrix yog zoo ib yam li nws tus kheej : I-1AI = A. Yog A yog zoo sib xws rau B, ces B yog zoo sib xws to A: yog B=P−1AP, ces A=PBP−1=(P−1)−1BP−1. Yog A yog zoo sib xws rau B ntawm B = P−1AP, thiab C yog zoo sib xws rau B ntawm C = Q−1BQ, ces A yog zoo sib xws rau C: C=Q−1P−1APQ=(PQ)−1APQ.
Nws txhais li cas yog matrices zoo sib xws?
Hauv linear algebra, ob n-by-n matrices A thiab B hu ua zoo ib yam li yog muaj ib tug invertible n-by-n matrix P zoo li ntawd. Zoo sib xws matrices sawv cev rau tib daim ntawv qhia kab hauv qab ob (tejzaum) sib txawv hauv paus, nrog P yog qhov hloov ntawm lub hauv paus matrix.
Pom zoo:
Dab tsi yog qhov kev hloov pauv hloov pauv?
Kev hloov pauv, hauv molecular biology, yog hais txog kev hloov pauv hauv deoxyribonucleic acid (DNA), qhov twg ib qho (ob lub nplhaib) purine hloov pauv rau (ib lub nplhaib) pyrimidine, los yog vice versa
Dab tsi yog qhov txawv ntawm ib puag ncig kev hloov pauv thiab kev hloov pauv qub txeeg qub teg?
Qhov sib txawv ntawm cov yam ntxwv ntawm cov tib neeg ntawm tib hom yog hu ua variation. Qhov no yog inherited variation. Qee qhov kev hloov pauv yog qhov tshwm sim ntawm qhov sib txawv ntawm ib puag ncig, lossis ib tus neeg ua dab tsi. Qhov no yog hu ua environmental variation
Dab tsi tsim cov roj siab thiab nws hloov pauv li cas nrog kev hloov pauv hauv kinetic zog?
Gas siab yog tshwm sim los ntawm kev sib tsoo ntawm cov khoom siv roj nrog rau sab hauv ntawm lub thawv thaum lawv sib tsoo nrog thiab tawm dag zog rau ntawm phab ntsa ntim. Tom qab ntawd cov roj yog cua sov. Raws li qhov kub ntawm cov roj nce, cov khoom tau nce lub zog kinetic thiab lawv cov nrawm nrawm
Puas yog kev sib hloov kho qhov muag thiab kev sib hloov tshwj xeeb zoo ib yam?
Hauv chemistry, kev sib hloov tshwj xeeb ([α]) yog cov cuab yeej ntawm cov tshuaj chiral. Yog hais tias lub compound muaj peev xwm tig lub dav hlau ntawm polarization ntawm lub dav hlau-polarized lub teeb, nws tau hais tias yog "optically active". Kev sib hloov tshwj xeeb yog cov cuab yeej siv zog, qhov txawv ntawm qhov tshwm sim ntau dua ntawm kev hloov kho qhov muag
Peb qhov laj thawj tseem ceeb ntawm kev hloov pauv hloov pauv yog dab tsi?
Allele frequencies nyob rau hauv ib tug pej xeem yuav hloov vim plaub lub hauv paus zog ntawm evolution: Natural Selection, Genetic Drift, Mutations thiab Gene Flow. Kev hloov pauv yog qhov kawg ntawm cov alleles tshiab hauv cov noob caj noob ces. Ob ntawm cov txheej txheem tseem ceeb tshaj plaws ntawm kev hloov pauv hloov pauv yog: Natural Selection thiab Genetic Drift