Math Problem Statement

Find the eigen value andand vector of matrix= 2,-1, 1;-1, 2,-1;1, -2, 2

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Matrices

Formulas

Determinant of a matrix |A - λI| = 0
Eigenvector equation A * v = λ * v

Theorems

Characteristic Equation Theorem
Eigenvalue-Eigenvector Theorem

Suitable Grade Level

College/University

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