4. 5. Run the power method on the matrix A = 2 3 -8 -4 3...

   

Transcribed Image Text:

4. 5. Run the power method on the matrix A = 2 3 -8 -4 3 (a) Run the power method using initial vector v = = [₁ 1 1]² and .01. What eigenvalue and eigenvector are found, and on what iteration? (b) List the estimated eigenvalues 0 for each iteration. A = Modify the code in the power method Python function so that you normalize the vector to be a unit vector in the 1-norm each iteration. Note that you also need to modify the calculation of the eigenvalue. Run the modified power method on the matrix -4 0 2 3 -8 0 -4 [₁11] (a) Run the power method using initial vector v = and eigenvector are found, and on what iteration? (b) List the estimated eigenvalues 0 for each iteration. and .01. What eigenvalue A Gr 4. 5. Run the power method on the matrix A = 2 3 -8 -4 3 (a) Run the power method using initial vector v = = [₁ 1 1]² and .01. What eigenvalue and eigenvector are found, and on what iteration? (b) List the estimated eigenvalues 0 for each iteration. A = Modify the code in the power method Python function so that you normalize the vector to be a unit vector in the 1-norm each iteration. Note that you also need to modify the calculation of the eigenvalue. Run the modified power method on the matrix -4 0 2 3 -8 0 -4 [₁11] (a) Run the power method using initial vector v = and eigenvector are found, and on what iteration? (b) List the estimated eigenvalues 0 for each iteration. and .01. What eigenvalue A Gr

Answer rating: 100% (QA)

To solve this problem we will first define the power method in Python to find the dominant eigenvalue and eigenvector of a matrix Then we will modify ... View the full answer