Eigenvalues:
Steps to Calculate Eigenvalues and Eigenvectors:
- Start with the matrix A, and subtract λI (where λ is a scalar and I is the identity matrix) from A:
- Calculate the determinant of (A - λI) and set it equal to zero:
- Solve for λ to find the eigenvalues.
- For each eigenvalue, substitute it back into the equation (A - λI)x = 0 to find the corresponding eigenvector(s).
A - λI
det(A - λI) = 0