Math Problem Statement
Find the eigenvalues of the matrix 0 1 0, 0 2 1, 0 2 0 3.
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Eigenvalues
Eigenvectors
Matrices
Characteristic Polynomial
Formulas
Eigenvalue equation: det(A - λI) = 0
Quadratic formula: λ = (-b ± √(b² - 4ac)) / 2a
Theorems
Characteristic Equation Theorem
Determinant Theorem
Suitable Grade Level
Undergraduate Level or Advanced High School