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Matrix Rank Calculator

Find the rank of a 2×2 matrix instantly using row reduction. Use this when solving systems of equations, checking linear independence, or determining if a matrix is invertible.

Element (1,1)

Element (1,2)

Element (2,1)

Element (2,2)

Fill in the required fields to see your result.

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

Fill in the required fields to see your result.

Key differences

	Matrix Rank Calculator	2D Vector Cross Product
Category	Linear Algebra	Linear Algebra
Inputs required	4	4
Result	Matrix Rank	Cross Product Magnitude
What it does	Find the rank of a 2×2 matrix instantly using row reduction. Use this when solving systems of equations, checking linear independence, or determining if a matrix is invertible.	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.