Math Problem Statement
Find eigen values and eigen vectors for the matrix A=[[3,2,2],[2,3,2],,[3,-3,-3]]
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Eigenvalues
Eigenvectors
Matrix Theory
Formulas
Characteristic equation: det(A - λI) = 0
Eigenvector equation: (A - λI)v = 0
Theorems
Eigenvalue Theorem
Determinant of a Matrix
Diagonalization
Suitable Grade Level
University Level
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