Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Idempotent Matrix

Formulas

A^2 = A
Determinant of a matrix: det(A) = product of eigenvalues

Theorems

Eigenvalue property: λ^2 = λ for idempotent matrices
Determinant is product of eigenvalues

Suitable Grade Level

College level