[ eigenvalues and eigenvectors] Prove that (v1, v2, v3) is a basis of R^3
Given a 3 x 3 matrix A with 3 distinct eigenvalues λ1, λ2, λ3, with its respective eigenvectors v1, v2, v2. Prove that (v1, v2, v3) is a basis of R^3
Vienrods
28
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
Dynkin
779
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 503 views
- $4.00
Related Questions
- Questions about using matrices for finding best straight line by linear regression
- Does $\sum_{n=2}^{\infty}\frac{\sin n}{n \ln n}$ converge or diverge?
- Linear independence of functions
- Numerical Linear Algebra Question
- Determine values of some constant which equate linear operators whose linear transformation is through a different basis of the same vector space.
- How to filter data with the appearance of a Sine wave to 'flattern' the peaks
- Linear Algebra - Matrices and Inverses Matrices
- Show that the $5\times 5$ matrix is not invertable