If is a QR factorization of a matrix A, then .

Question

If  is a QR factorization of a matrix A, then  .

Quizplus · Accepted Answer

In QR factorization, we decompose a matrix A as a product of two matrices Q and R, where Q is an orthogonal matrix and R is an upper triangular matrix. The QR factorization of a matrix is not unique, but if 11edaba5_20a2_631c_a975_99c851a0b30d_TBMC1039_00 is the QR factorization of matrix A, then 11edaba5_20a2_631d_a975_a57e0558cc22_TBMC1039_00 is also a valid QR factorization of the same matrix A. The difference between the two factorizations may be due to different choices of sign or scaling factors.

If Is a QR Factorization of a Matrix A