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(Solved): 5. Use the Power method to approximate the smallest eigenvalue and the corresponding eigenvector o ...
5. Use the Power method to approximate the smallest eigenvalue and the corresponding eigenvector of the matrix. (ref: 1. Notes, \( \S 5.4 .2 \quad 2 \). Numerical Analysis, \( 99.3 \) ) \[ A=\left[\begin{array}{lll} 2 & 8 & 9 \\ 8 & 3 & 4 \\ 9 & 4 & 7 \end{array}\right] \]