learn.howToCalculate
learn.whatIsHeading
An eigenvalue λ satisfies Av = λv for some non-zero eigenvector v. Eigenvalues reveal the characteristic stretching/compressing directions of a linear transformation.
단계별 가이드
- 1Solve det(A − λI) = 0 (characteristic equation)
- 2For 2×2: λ² − trace(A)λ + det(A) = 0
- 3Find eigenvectors by solving (A − λI)v = 0
풀어진 예시
입력
Matrix [[3,1],[1,3]]
결과
λ = 4 and λ = 2
Characteristic eq: λ²−6λ+8=0 → (λ−4)(λ−2)=0
계산할 준비가 되셨나요? 무료 Eigenvalue 계산기를 사용해 보세요
직접 시도해 보세요 →