Math Problem Statement
Verify Cayley Hamilton theorem of the matrix A = [[2, - 1, 2], [- 1, 2, - 1], [1, - 1, 2]]
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrices
Characteristic Polynomial
Formulas
Characteristic Polynomial: p_A(λ) = det(A - λI)
Cayley-Hamilton Theorem: A satisfies its own characteristic equation
Theorems
Cayley-Hamilton Theorem
Suitable Grade Level
Undergraduate (Linear Algebra)
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