Math Problem Statement

char eqn for quad form 6x2+3y2+3z2-2yz+4xz-4xy

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Quadratic Forms
Characteristic Equation
Eigenvalues

Formulas

Matrix representation of quadratic form
Characteristic equation: det(A - λI) = 0
Determinant of a 3x3 matrix

Theorems

Spectral Theorem
Eigenvalue Theorem

Suitable Grade Level

Undergraduate (Linear Algebra)