3) Let S = {(1, –2, 2, 1), (2, –2, 1, 2), (–1, 5, 1, –1} C Rª. The span of S (i.e., the set of all linear combinations of the three vectors of S) is a three dimensional subspace Rª.
3) Let S = {(1, –2, 2, 1), (2, –2, 1, 2), (–1, 5, 1, –1} C Rª. The span of S (i.e., the set of all linear combinations of the three vectors of S) is a three dimensional subspace Rª.
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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Question
(a) Use the Gram-Schmidt orthogonalization process to find a set of three mutually orthogonal
(b) Let w = (5, 1, 2, 3). Find the projection of the vector w to the span of S. Deduce the rejection of w by the span of S.
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