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