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Eigenvalue Calculator

Compute the eigenvalues and eigenvectors of a 2×2 matrix instantly. Used in stability analysis, principal component analysis, and quantum mechanics.

Matrix Element (1,1)

Matrix Element (1,2)

Matrix Element (2,1)

Matrix Element (2,2)

Decimal Precision

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Linear Algebra

2D Vector Cross Product

Compute the scalar magnitude of the cross product of two 2D vectors U and V. Use it to find the signed area of the parallelogram they span or to test if two vectors are parallel.

Vector U - X component

Vector U - Y component

Vector V - X component

Vector V - Y component

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Key differences

	Eigenvalue Calculator	2D Vector Cross Product
Category	Linear Algebra	Linear Algebra
Inputs required	5	4
Result	First Eigenvalue	Cross Product Magnitude
What it does	Compute the eigenvalues and eigenvectors of a 2×2 matrix instantly. Used in stability analysis, principal component analysis, and quantum mechanics.	Compute the scalar magnitude of the cross product of two 2D vectors U and V. Use it to find the signed area of the parallelogram they span or to test if two vectors are parallel.