Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Matrix Algebra
Cayley-Hamilton Theorem
Matrix Inversion
Matrix Powers
Formulas
Characteristic polynomial: det(A - λI) = 0
Cayley-Hamilton Theorem: A satisfies its characteristic equation
Matrix inverse: A⁻¹ = 1/det(A) * adj(A)
Theorems
Cayley-Hamilton Theorem
Suitable Grade Level
University level (Linear Algebra)