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)