Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Modular Arithmetic
Matrix Determinants
Eigenvalues and Eigenvectors
Formulas
Determinant of a 2x2 matrix: det(A) = ad - bc
Trace of a matrix: trace(A) = sum of eigenvalues
Theorems
Cayley-Hamilton Theorem
Properties of Matrices under Modular Arithmetic
Suitable Grade Level
Undergraduate
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