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

QR Decomposition Calculator

Decompose any matrix A into an orthogonal matrix Q and an upper-triangular matrix R such that A = QR. Essential for solving least-squares problems, computing eigenvalues, and numerical linear algebra.

Matrix Element (1,1)

Matrix Element (1,2)

Matrix Element (2,1)

Matrix Element (2,2)

Fill in the required fields to see your result.

Linear Algebra

Vector Projection Calculator

Calculate the scalar projection of 2D vector A onto vector B. Use this when you need to find how much of vector A lies in the direction of vector B.

Vector A - X component

Vector A - Y component

Vector B - X component

Vector B - Y component

Fill in the required fields to see your result.

Key differences

	QR Decomposition Calculator	Vector Projection Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	4	4
Result	R Matrix Determinant	Scalar Projection
What it does	Decompose any matrix A into an orthogonal matrix Q and an upper-triangular matrix R such that A = QR. Essential for solving least-squares problems, computing eigenvalues, and numerical linear algebra.	Calculate the scalar projection of 2D vector A onto vector B. Use this when you need to find how much of vector A lies in the direction of vector B.