Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Analysis
Eigenvalues
Eigenvectors
Matrix Diagonalization

Formulas

Ax = λx (where A is a matrix, x is the eigenvector, and λ is the eigenvalue)
P^(-1)AP = D (where P is a matrix of eigenvectors, and D is a diagonal matrix)

Theorems

Spectral Theorem for matrix diagonalization

Suitable Grade Level

University Level