9.8 Exercises. 1. Let a = (1, -2, –3). The projection of R onto the line l defined by span(ā) is %3D proja(T) (a) Show that the matrix representation with respect to the standard basis S is given by [projals (b) Find the point on the line l which is closest to the point (1,1, 1). (c) Find an orthogonal basis B of R containing a. (d) Let B be as found in (c). Find [projalB.
9.8 Exercises. 1. Let a = (1, -2, –3). The projection of R onto the line l defined by span(ā) is %3D proja(T) (a) Show that the matrix representation with respect to the standard basis S is given by [projals (b) Find the point on the line l which is closest to the point (1,1, 1). (c) Find an orthogonal basis B of R containing a. (d) Let B be as found in (c). Find [projalB.
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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Transcribed Image Text:9.8
Exercises.
1. Let a = (1, -2, -3). The projection of R' onto the line l
defined by
span(ā) is
%3D
proja(7) =
(a) Show that the matrix representation with respect to the standard
basis S is given by
[projals
(b) Find the point on the line l which is closest to the point (1,1, 1).
(c) Find an orthogonal basis B of R containing a.
(d) Let B be as found in (c). Find [projals.
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