QR Decomposition of Matrices Calculator

An online calculator that QR decomposes a given matrix \( A \) of dimension \( m \times n \) as the product of an orthogonal matrix \( Q \) and an upper triangular matrix \( R \) of dimension \( n \times n \). The decomposition is possible if \( m \ge n \) and the columns of matrix \( A \) are linearly independent .
Number of Rows: \( m = \) Number of Columns: \( n = \)

Click here to enter \( m \) and \( n \) and generate a random matrix


Change values of cells above (if needed) and click here

Output

More References and links

1. Linear Algebra - Questions with Solutions
2. The QR Decomposition of a Matrix
3. Orthogonal Matrices - Examples with Solutions
4. Triangular Matrices
5. Linearly Independent and Dependent Vectors - Examples with Solutions
6. Linear Algebra and its Applications - 5 th Edition - David C. Lay , Steven R. Lay , Judi J. McDonald
7. Elementary Linear Algebra - 7 th Edition - Howard Anton and Chris Rorres