Question
Obtain the eigenvalues and eigenvectors of matrix A:
Answer :
Word Count : 322
The matrix A = [[2, 0, −1], [0, 2, 0], [−1, 0, 2]]. The characteristic equation is obtained from |A − λI| = 0. A − λI = [[2 − λ, 0, −1], [0, 2 − λ, 0], [−1, 0, 2 − λ]]. Expanding the determinant along the second row, |A − λI| = (2 − λ) · | [[2 − λ, −1], [−1, 2 − λ]\ |. The 2 × 2 determinant is (2 − λ)(2 − λ) − _______ _______ ___ ________ __________ _____ _______.
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The matrix A = [[2, 0, −1], [0, 2, 0], [−1, 0, 2]]. The characteristic equation is obtained from |A − λI| = 0. A − λI = [[2 − λ, 0, −1], [0, 2 − λ, 0], [−1, 0, 2 − λ]]. Expanding the determinant along the second row, |A − λI| = (2 − λ) · | [[2 − λ, −1], [−1, 2 − λ]\ |. The 2 × 2 determinant is (2 − λ)(2 − λ) − _______ _______ ___ ________ __________ _____ _______.
_______ ________ _____ __________ _________ __________ ____ ___ ______ __________.
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