Hilton Bradley
09/10/2024 · Primary School
Find the Eig Eigen vectors
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Step-by-step Solution
To find the eigenvectors of a matrix, we need to solve the eigenvalue equation:
\[ \text{det}(A - \lambda I) = 0 \]
where:
- \( A \) is the matrix,
- \( \lambda \) is the eigenvalue,
- \( I \) is the identity matrix of the same size as \( A \).
The eigenvectors are the non-zero vectors that satisfy the equation \( (A - \lambda I) \mathbf{v} = \mathbf{0} \), where \( \mathbf{v} \) is the eigenvector.
If you provide the matrix \( A \), I can help you find the eigenvalues and eigenvectors.
Quick Answer
To find eigenvectors, solve the equation \( (A - \lambda I) \mathbf{v} = \mathbf{0} \) for the matrix \( A \) and eigenvalue \( \lambda \).
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