Find the largest Eigen value and the corresponding Eigen vector of the matrix A using Rayleigh’s power method by taking the initial vector as [ 1,0 ,0 ]^T. A = (1 – 3 2 4 4 – 1 6 3 5) with the initial vector X^((0))= [1,0,0]^T
Problem
Question
Find the largest Eigen value and the corresponding Eigen vector of the matrix A using Rayleigh’s power method by taking the initial vector as [ 1,0 ,0 ]^T. A = (1 – 3 2 4 4 – 1 6 3 5) with the initial vector X^((0))= [1,0,0]^T
Topic
Rayleigh’s Power Method Problems
- Find the largest Eigen value and the corresponding Eigen vector of the matrix by the power method given that A =[(2,0,1),(0,2,0),(1,0,2)]
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- Find the numerically largest Eigen value and the corresponding Eigen vector of matrix A = [(4,1,-1),(2,3,-1),(-2,1,5)] by taking the initial approximation to the Eigen vector as [1, 0.8,-0.8] ^T. Perform 5 iterations
- Using Rayleigh’ s power method find numerically the largest Eigen value and corresponding Eigen vector of the matrix, A=[(25,1,2,),(1,3,0),(2,0,-4)]
- Find the largest eigen value and the corresponding eigen vector of the given matrix A using Rayleigh’s power method taking the initial vector as [ 1,1 ,1 ]^T. A = (1 – 3 2 4 4 – 1 6 3 5) with the initial vector [1,1,1]^T
- Find the largest Eigen value and the corresponding Eigen vector of the matrix A using Rayleigh’s power method by taking the initial vector as [ 1,0 ,0 ]^T. A = (1 – 3 2 4 4 – 1 6 3 5) with the initial vector X^((0))= [1,0,0]^T