Eigenvalues and Eigenvectors
Numerical methods for computing eigenvalues and eigenvectors of matrices.
Power Method
Iterative method for finding the dominant eigenvalue and corresponding eigenvector.
Interactive Demonstration
Matrix A (3x3)
Initial Vector v(0)
Max Iterations
Practice Problems
Use the power method to find the dominant eigenvalue of each matrix.
Problem 1
Matrix A:
[4, 1]
[2, 3]
Initial v(0):
[1, 1]
Problem 2
Matrix A:
[3, -1]
[1, 1]
Initial v(0):
[1, 0]
Problem 3
Matrix A:
[5, 2]
[1, 4]
Initial v(0):
[1, 1]