Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Quadratic Forms
Orthogonal Transformations
Diagonalization
Eigenvalues and Eigenvectors
Formulas
Quadratic form in matrix notation: x^T A x
Eigenvalue equation: A v = λ v
Theorems
Spectral Theorem for symmetric matrices
Diagonalization Theorem
Suitable Grade Level
Undergraduate Mathematics
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