Math Problem Statement

Determine the eigen values and eigen vectors of the matrix A=(0 0 -2 1 2 1 1 0 3)

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Characteristic Equation
Determinants
Cubic Equations

Formulas

det(A - λI) = 0
Quadratic formula: λ = (-b ± √(b² - 4ac)) / 2a

Theorems

Eigenvalue Theorem
Cayley-Hamilton Theorem

Suitable Grade Level

Undergraduate level