16. Consider the vectors [1/2] 1/2 1/2 1/2] 1/2] 1/2 -1/2 [-1/2] 1/2] -1/2 1/2 --1/2] ü2 = üz = in R*. Can you find a vector ū4 in Rª such that the vec- tors ū1, ū2, ū3, ủ4 are orthonormal? If so, how many such vectors are there? 3.
16. Consider the vectors [1/2] 1/2 1/2 1/2] 1/2] 1/2 -1/2 [-1/2] 1/2] -1/2 1/2 --1/2] ü2 = üz = in R*. Can you find a vector ū4 in Rª such that the vec- tors ū1, ū2, ū3, ủ4 are orthonormal? If so, how many such vectors are there? 3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![16. Consider the vectors
[1/2]
1/2
1/2
[1/2]
1/27
1/2
-1/2
-1/2]
1/2]
-1/2
1/2
-1/2]
ü2 =
uz =
in R4. Can you find a vector ūg in Rª such that the vec-
tors ū1, ū2, ū3, ủ4 are orthonormal? If so, how many
such vectors are there?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe55480c9-001b-429e-a279-479d58ea7b76%2F0acf9d43-81ad-4445-8e6c-ec878d0060a0%2Fqbnug34_processed.png&w=3840&q=75)
Transcribed Image Text:16. Consider the vectors
[1/2]
1/2
1/2
[1/2]
1/27
1/2
-1/2
-1/2]
1/2]
-1/2
1/2
-1/2]
ü2 =
uz =
in R4. Can you find a vector ūg in Rª such that the vec-
tors ū1, ū2, ū3, ủ4 are orthonormal? If so, how many
such vectors are there?
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