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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)

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Linear Algebra

Vector Magnitude Calculator

Compute the Euclidean magnitude (length) of a 3D vector as √(x² + y² + z²). Use it to normalise a vector, measure distance, or check the size of a direction vector.

X component

Y component

Z component

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Key differences

	QR Decomposition Calculator	Vector Magnitude Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	4	3
Result	R Matrix Determinant	Vector Magnitude
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.	Compute the Euclidean magnitude (length) of a 3D vector as √(x² + y² + z²). Use it to normalise a vector, measure distance, or check the size of a direction vector.