Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Quadratic Forms
Matrix Theory
Linear Algebra
Indefiniteness
Formulas
Quadratic form in matrix notation: Q(x, y, z) = [x, y, z] A [x, y, z]^T
Matrix determinant: det(A)
Principal minors and their signs
Theorems
Sylvester's criterion for definiteness
Suitable Grade Level
Grades 10-12
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