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Kalkuletar Eigenvalue

Yi ƙididdigewa da bincika eigenpairs don ainihin matrix mai ma'ana. Dubi daidaitattun eigenvectors da ragowar ga kowane sakamako.

Shigar da layuka 2-8, ɗaya akan kowane layi. Rarrabe dabi'u tare da waƙafi, sarari ko semicolons. Misali: 2, 0 akan layi na farko da 0, 3 akan na biyu.

Yana goyan bayan ƙayyadaddun ma'auni na zahiri kawai, daga 2 × 2 zuwa 8 × 8; kowace ƙima dole ne ta kasance cikin ± 1,000,000. Ba a tallafawa matrices marasa daidaituwa da ƙayyadaddun ƙimar eigen. Eigenvectors suna da tsayin raka'a; Alamar su na iya bambanta. Sakamako-maki-daki suna da kima.

Ta yaya zan nemo kimar matrix?

Shigar da matrix daidai murabba'i na gaske, jere ɗaya a kowane layi, tare da ƙima da aka raba ta waƙafi ko sarari. Yi ƙididdigewa don duba ƙimar eigenvector ɗin da aka jera, daidaitattun eigenvectors da ragowar.

Tambayoyin da ake yawan yi

Ta yaya zan nemo kimar matrix?

Shigar da matrix daidai murabba'i na gaske, jere ɗaya a kowane layi, tare da ƙima da aka raba ta waƙafi ko sarari. Yi ƙididdigewa don duba ƙimar eigenvector ɗin da aka jera, daidaitattun eigenvectors da ragowar.

An ɗora darajar matrix na?

A'a. Lissafin yana gudana a cikin gida a cikin wannan mai binciken. Ba a loda kimar Matrix ko adana ta wannan kayan aikin.

Wadanne nau'ikan matrix ke goyan bayan ƙididdige ƙimar eigenvalue?

Yana goyan bayan ainihin matrix murabba'in simmetric daga 2 × 2 zuwa 8 × 8. Ba ya ƙididdige ƙididdige ƙididdiga don matrices marasa daidaituwa ko hadaddun ƙimar eigenvalues.

Ta yaya zan iya bincika eigenvector? Saukewa:

Ga kowane sakamako, kwatanta A wanda aka ninka ta hanyar nuna al'adar vector tare da eigenvalue wanda aka ninka ta wannan vector. Sauran sun ba da rahoton al'adar bambancin su; dabi'u kusa da sifili suna nuna kusancin lamba. Saukewa:

Me yasa eigenvector zai iya samun wata alama ta daban? Saukewa:

Idan v ne eigenvector, -v kuma eigenvector ne don darajar eigenvector iri ɗaya. Kayan aiki yana zaɓar madaidaiciyar alamar inda zai yiwu, amma alamar ba ta bambanta da lissafi ba. Saukewa: