Math Problem Statement
Diagonalize the matrix A = [[2, 2, 0], [2, 1, 1], [- 7, 2, - 3]]
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Eigenvalues
Eigenvectors
Matrix Diagonalization
Formulas
Eigenvalue equation: det(A - λI) = 0
Eigenvector equation: (A - λI)v = 0
Diagonalization: A = P D P^{-1}
Theorems
Eigenvalue Theorem
Spectral Theorem
Suitable Grade Level
Undergraduate (Linear Algebra)
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