# Power Method

This design loves the two largest eigenvalues of a 50×50 matrix. You succeed representation the regular Sway Order to love the largest eigenvalue. For the proximate largest eigenvalue, you can representation an “Annihilation or Deflation or Shifting technique” discussed in rank and also in our magnitude. The matrix A is tridiagonal. Its deep lateral has undivideds on it. The super lateral (the lateral aloft the deep lateral) has negative-ones on it. The sub-lateral (beneath the deep lateral) has negative-ones also. Our starting vector xo has entire undivideds. Our tolerance is 0.01.

Turn in the aftercited on undivided page

1) Inhale Gershgorin Circles that hold the eigenvalues of A.

Representation “insert” from the menu to fix and inhale circles.

2) Based on sunder (1), what is the cadaverous radius of A. Print your solution here: _______________

3) With a starting vector xo= [1  1  1  1….1]T, adduce the regular sway order to love lmax , the dominant-

eigenvalue of matrix A. Representation a tolerance of 0.01.  Print your solution with 4 decimals: ____________

4) Print the sum of iterations required to coincide. ____________

5) Representation the deflation technique discussed in rank to love the relieve largest eigenvalue. Tolerance = 0.01

Print the relieve largest eigenvalue with 4 decimals: _________________

6) Print the sum of iterations required to coincide.  ___________

7) Print your lover program here. As discussed in rank, the deep organization of your program is 3 lines, so your

program should referable be desire.

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