Given matrix F as follows. [4 F = 9 L8 15 -17 4 8 -4 9 a) Use the Gerschgorin's Circle Theorem to determine region of all the eigenvalues of F. State the biggest circle. b) Find the dominant eigenvalue (2₁) and the corresponding eigenvector of matrix F using Power method. Use v(0) = [1, 1, 0]. Do calculations in 3 decimal points and ε = 0.01. c) If the smallest eigenvalue A3 = -5, find the intermediate eigenvalue of matrix F.

Given matrix F as follows. [4 F = 9 L8 15 -17 4 8 -4 9 a) Use the Gerschgorin's Circle Theorem to determine region of all the eigenvalues of F. State the biggest circle. b) Find the dominant eigenvalue (2₁) and the corresponding eigenvector of matrix F using Power method. Use v(0) = [1, 1, 0]. Do calculations in 3 decimal points and ε = 0.01. c) If the smallest eigenvalue A3 = -5, find the intermediate eigenvalue of matrix F.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 30E

See similar textbooks