For each of the following sets of vectors, determine whether or not the set is orthogonal. • if the set is orthogonal, normalize it to obtain an orthonormal set • if the set is not orthogonal, show this by giving the dot product of an appropriate pair of the vectors -21 12 a) u =-17 7 w =|-3 -31 15 {u, v, w} is orthogonal normalized: b) u = 1 y = w =|1 1 {u, v, w} is orthogonal normalized: 0 O O 0 O O 0 OO O O O 0 O O O

For each of the following sets of vectors, determine whether or not the set is orthogonal. • if the set is orthogonal, normalize it to obtain an orthonormal set • if the set is not orthogonal, show this by giving the dot product of an appropriate pair of the vectors -21 12 a) u =-17 7 w =|-3 -31 15 {u, v, w} is orthogonal normalized: b) u = 1 y = w =|1 1 {u, v, w} is orthogonal normalized: 0 O O 0 O O 0 OO O O O 0 O O O

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 1AEXP

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