Math Problem Statement

Diagonalize the matrix A = [[2, 2, 0], [2, 1, 1], [- 7, 2, - 3]] find eigen vectors

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Matrix Diagonalization

Formulas

Characteristic Equation: det(A - λI) = 0
Eigenvector Equation: (A - λI)v = 0
Matrix Diagonalization: A = PDP^{-1}

Theorems

Eigenvalue Theorem
Diagonalization Theorem

Suitable Grade Level

Undergraduate Level (Linear Algebra)