Compare calculators

Both calculators run independently — change the inputs on either side to compare results.

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.

Matrix element (1,1)

Matrix element (1,2)

Matrix element (2,2)

Variable x₁

Variable x₂

Fill in the required fields to see your result.

Linear Algebra

Matrix Inverse Calculator

Find the inverse of a 2×2 or 3×3 matrix instantly. Use it when solving linear systems, transforming coordinates, or computing solutions in engineering and computer graphics.

Element a (1,1)

Element b (1,2)

Element c (2,1)

Element d (2,2)

Fill in the required fields to see your result.

Key differences

	Quadratic Form Calculator	Matrix Inverse Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	5	4
Result	Quadratic Form Value	Inverse Element (1,1)
What it does	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.	Find the inverse of a 2×2 or 3×3 matrix instantly. Use it when solving linear systems, transforming coordinates, or computing solutions in engineering and computer graphics.