🔷 QR Decomposition Calculator

Factor matrix into orthogonal Q and upper triangular R

How to Use This Calculator

1

Set Dimensions

Choose a matrix with at least as many rows as columns for QR decomposition.

2

Enter Matrix

Input all matrix elements.

3

Get QR

View Q (orthogonal) and R (upper triangular).

Formula

A = Q × R

Definition: Q is orthogonal (orthonormal columns), R is upper triangular.

About QR Decomposition

QR decomposition factors a matrix into orthogonal Q and upper triangular R.

FAQ

What is QR decomposition?

Factorization A = QR where Q has orthonormal columns and R is upper triangular.