Vim ib lub matrix tiag tiagmuaj cov eigenvalues complex (tshwm sim nyob rau hauv complex conjugate khub), txawm rau ib tug tiag tiag matrix A, U thiab T nyob rau hauv lub saum toj no theorem yuav complex.
Tus nqi tiag tiag puas muaj eigenvectors nyuaj?
Yog tus n × n matrix A muaj cov khoom tiag, nws cov eigenvalues nyuaj yuav ib txwm tshwm sim hauv cov khub sib txuas ua ke … Qhov no yooj yim heev rau pom; nco qab tias yog eigenvalue yog complex, nws eigenvectors feem ntau yuav yog vectors nrog complex nkag (uas yog, vectors hauv Cn, tsis yog Rn).
Puas yog matrix tsis muaj eigenvalues tiag?
Tseem muaj tsawg Ib Qhov Tseeb Eigenvalue ntawm Odd Real Matrix Cia n ua tus lej khib thiab cia A ua tus n ×n tiag matrix. Ua pov thawj tias matrix A muaj tsawg kawg yog ib qho tiag tiag eigenvalue.
Puas yog 3x3 matrix tsis muaj eigenvalues tiag?
As ntev li b≠0 thiab d≠0 koj yuav muaj ntau yam matrices yam tsis muaj eigenvalues tiag.
Nws txhais li cas yog matrix tsis muaj eigenvalues?
In linear algebra, a defective matrix is a square matrix that does not have a complete base of eigenvectors, thiab yog li ntawd tsis yog diagonalizable. Tshwj xeeb tshaj yog, ib qho n × n matrix puas yog thiab tsuas yog tias nws tsis muaj n linearly ywj siab eigenvectors.
