# Obtaining the $QR$ Decomposition by Pairs of Row and Column Operations

by Sidney H. Kung (University of North Florida)

College Mathematics Journal
September, 2002

Subject classification(s): Algebra and Number Theory | Linear Algebra
Applicable Course(s): 3.8 Linear/Matrix Algebra

The author gives an alternative to the usual Gram-Schmidt process and shows how to obtain the “QR Factorization” by using pairs of row column operations.

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Capsule Course Topic(s):
Linear Algebra | Matrix Factorizations
Linear Algebra | Orthogonality and Projections