Math Problem Statement

Find the eigen values and eigen vectors for the matrix A:

A = [ 8 −6 2 −6 7 −4 2 −4 3

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Eigenvalues
Eigenvectors
Matrix Determinants

Formulas

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

Theorems

Eigenvalue Theorem
Determinant Theorem

Suitable Grade Level

Undergraduate