9. OI the owing setS Of re orthogOnal with respect to the Euclidean inner product on R°? Which are orthonormal? Justify your answers. 1) S = 0, 0, (0, 1,0) 2 1 2 1 2 1 2 2 2) S = {(; 3'3 3'3'3 3'

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 6AEXP
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taken from my algebra 101 textbook

Question 9. Which of the following sets of vectors are orthogonal with respect to the
Euclidean inner product on R³? Which are orthonormal? Justify your answers.
{(;
{(
1
0,
2
a), (0, 1,
1) S =
0,
0)
/2
2
2 1
2 1 2
1 2 2
2) S =
3'
3'3
3'3'3
3'3'3
Transcribed Image Text:Question 9. Which of the following sets of vectors are orthogonal with respect to the Euclidean inner product on R³? Which are orthonormal? Justify your answers. {(; {( 1 0, 2 a), (0, 1, 1) S = 0, 0) /2 2 2 1 2 1 2 1 2 2 2) S = 3' 3'3 3'3'3 3'3'3
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