Orthogonality tseem yog tus yam ntxwv tseem ceeb thaum tsim kev ntsuas, tsim lossis tshuaj ntsuam, lossis tus yam ntxwv ua pov thawj. Qhov kev xav tias ob qhov sib txawv lossis qhov tshwm sim tsis sib xws tseem yog qhov tseem ceeb ntawm kev txheeb xyuas kev txheeb xyuas nrog rau kev xav theoretical.
Vim li cas orthogonality thiaj tseem ceeb?
Qhov tshwj xeeb ntawm lub hauv paus orthonormal yog nws ua rau ob qhov sib npaug kawg tuav. Nrog rau lub hauv paus orthonormal, cov kev sib koom tes sawv cev muaj qhov ntev tib yam li cov vectors qub, thiab ua tib lub kaum sab xis nrog ib leeg.
Vim li cas cov matrices orthogonal tseem ceeb?
Orthogonal matrices tau koom nrog qee qhov tseem ceeb tshaj plaws decompositions hauv cov lej linear algebra, QR decomposition (Tshooj 14), thiab SVD (Tshooj 15). Qhov tseeb tias orthogonal matrices koom nrog ua rau lawv cov cuab yeej tseem ceeb rau ntau daim ntawv thov.
Dab tsi yog qhov tshwj xeeb ntawm cov vectors?
peb hais tias 2 tug vectors yog orthogonal yog tias lawv nyob ib leeg. i.e. cov khoom dot ntawm ob vectors yog xoom. … Ib txheej ntawm vectors S yog orthonormal yog tias txhua tus vectors hauv S muaj qhov loj 1 thiab cov vectors yog kev sib koom ua ke.
siv lub hauv paus orthogonal yog dab tsi?
Nyob rau hauv lej, tshwj xeeb tshaj yog linear algebra, lub hauv paus orthogonal rau ib qho khoom sab hauv V yog a hauv paus rau V uas cov vectors yog sib koom ua ke orthogonal. Yog tias vectors ntawm lub hauv paus orthogonal yog normalized, lub hauv paus tshwm sim yog lub hauv paus orthonormal.
Nyob zoo ib tsoom niam txiv kwv tij neej tsas sawv daws.
