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Linear Algebra
Quadratic Form Calculator
Evaluate a 2-variable quadratic form Q(x₁, x₂) and analyze its definiteness. Useful in optimization, geometry, and studying conic sections.
Fill in the required fields to see your result.
Linear Algebra
Quadratic Form Calculator
Evaluate a quadratic form Q(x) = x^T A x for a symmetric 2×2 matrix and a vector (x₁, x₂). Use it to test whether a matrix is positive definite, negative definite, or indefinite.
Fill in the required fields to see your result.
Key differences
| Quadratic Form Calculator | Quadratic Form Calculator | |
|---|---|---|
| Category | Linear Algebra | Linear Algebra |
| Inputs required | 5 | 5 |
| Result | Quadratic Form Value | Quadratic Form Value |
| What it does | Evaluate a 2-variable quadratic form Q(x₁, x₂) and analyze its definiteness. Useful in optimization, geometry, and studying conic sections. | Evaluate a quadratic form Q(x) = x^T A x for a symmetric 2×2 matrix and a vector (x₁, x₂). Use it to test whether a matrix is positive definite, negative definite, or indefinite. |