Given an arbitrary basis {x1, X2, X3} in R : 7 2 - X1 = X2 = and X3 = %3D 25 7 | and following Gram-Schmidt procedure (p.4 in particular), we can cos orthonormal basis {u1, u2, u3} in R 7 -2 0 matrix X = {x1, X2, X3} - 3 1 0. 25 -7 1 and "QR-Factorization" (decomposition) X = QR. %3D Matrix Q is just an aggregation of u-vectors: Q = {u1, u2, U3}.
Given an arbitrary basis {x1, X2, X3} in R : 7 2 - X1 = X2 = and X3 = %3D 25 7 | and following Gram-Schmidt procedure (p.4 in particular), we can cos orthonormal basis {u1, u2, u3} in R 7 -2 0 matrix X = {x1, X2, X3} - 3 1 0. 25 -7 1 and "QR-Factorization" (decomposition) X = QR. %3D Matrix Q is just an aggregation of u-vectors: Q = {u1, u2, U3}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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