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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 55EQ

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