QR Decomposition Calculator

Free online QR Decomposition Calculator. Part of our comprehensive Math Calculators suite.

Matrix Entry

Space between columns, newline between rows

Determinant |A|

-2.00

Matrix Rank

LU Decomposition (L)

[ 1.00 0.00 ]

[ 3.00 1.00 ]

QR Decomposition (Q)

[ 0.32 0.95 ]

[ 0.95 -0.32 ]

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About QR Decomposition Calculator

The QR Decomposition Calculator is a specialized online tool meticulously developed to perform the QR factorization of any given matrix. This fundamental linear algebra operation decomposes a matrix A into the product of an orthogonal matrix Q and an upper triangular matrix R (A = QR). It is an indispensable resource for students, engineers, researchers, and professionals across disciplines such as numerical analysis, signal processing, and computational mathematics. By automating this often complex and time-consuming process, our calculator ensures precision, accelerates problem-solving, and facilitates a clearer comprehension of matrix factorization without manual errors. It is particularly valuable for solving least squares problems, eigenvalue computations, and various other advanced mathematical applications.