Kubva pamuenzaniso wakapiwa mundima ino, chii chinonzi eigenvector?
Context:Muenzaniso waMona Lisa uri pamufananidzo pano unopa muenzanisiro uri nyore. Pfungwa imwe neimwe iri pamufananidzo inogona kumiririrwa sechinhu chinonongedzera kubva pakati pomufananidzo kuenda kunongedzo iyoyo. Shanduko yakatwasuka mumuenzaniso uyu inonzi shear mapping. Zvikamu zviri muhafu yokumusoro zvinotamira kurudyi, uye zvikamu zviri muhafu yepasi zvinotamira kuruboshwe, zvichienderana nokureba kwazvinoita kubva pachikamu chakatwasuka chinopfuura nepakati pomufananidzo wacho. Mavekita anonongedzera kunongedzo imwe neimwe mumufananidzo wapakuvamba naizvozvo akatsaukira kurudyi kana kuruboshwe, uye anoitwa marefu kana mapfupi nokushandurwa. Mapoinzi ari pachikamu chakatwasuka haafambi zvachose kana shanduko iyi yaitwa. Nokudaro, chero vector inonongedzera zvakananga kurudyi kana kuruboshwe isina chinhu chakatwasuka inonzi eigenvector yeshanduko iyi, nokuti kuenzanisira hakushanduri nhungamiro yayo. Uyezve, idzi eigenvectors dzose dzine eigenvalue yakaenzana neimwe, nemhaka yokuti kuenzanisira hakuchinji urefu hwadzowo.
An eigenvector of a mapping is any vector that does not change direction when the mapping is applied to it.