Math Problem Statement
Find the eigen values and eigen vector of the following matrix A = 3 2 4 2 0 2 4 2 3
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Eigenvalues
Eigenvectors
Matrix Determinants
Formulas
Characteristic equation: det(A - λI) = 0
Eigenvector equation: (A - λI)v = 0
Theorems
Eigenvalue theorem
Determinant property in matrices
Suitable Grade Level
Grades 11-12, Undergraduate
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