Math Problem Statement

Find the dominant eigen value of A = [[1, 6, 1], [1, 2, 0], [0, 0, 3]] using power method. Only answer

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors

Formulas

Power Method: x_{k+1} = Ax_k / ||Ax_k||

Theorems

Spectral Theorem
Convergence of Power Method

Suitable Grade Level

Undergraduate Level (Linear Algebra)

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