QR Decomposition

Given a matrix A, its QR-decomposition is a matrix decomposition of the form

 A=QR,

where R is an upper triangular matrix and Q is an orthogonal matrix, i.e., one satisfying

 Q^(T)Q=I,

where Q^(T) is the transpose of Q and I is the identity matrix. This matrix decomposition can be used to solve linear systems of equations.

QR decomposition is implemented in the Wolfram Language as QRDecomposition[m].

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