Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Quadratic Forms
Linear Algebra
Diagonalization

Formulas

Q(x) = x^T A x (Quadratic Form)
Eigenvalues and Eigenvectors
Determinant

Theorems

Spectral Theorem
Diagonalization of Symmetric Matrices

Suitable Grade Level

Undergraduate - Linear Algebra or Advanced Algebra