Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Matrix Inversion
Matrix Powers

Formulas

Characteristic Polynomial: det(A - λI) = 0
Inverse of Matrix A: A^-1 using Cayley-Hamilton Theorem
Matrix Power: A^n using Cayley-Hamilton Theorem

Theorems

Cayley-Hamilton Theorem

Suitable Grade Level

Undergraduate (College-Level)