Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Theory
Eigenvalues and Eigenvectors
Modulo Arithmetic
Formulas
B^3 = 4B
det(B) = -12
λ(λ - 2)(λ + 2) = 0 for eigenvalues of B
Theorems
Eigenvalue properties of matrices
Trace and determinant relationship in 2x2 matrices
Suitable Grade Level
Undergraduate level (first year)
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