Determine the orthogonal basis by calculating w1 = w2 - [(23,5)] - < C2, w1 < C1, C₁ > [(-9,-2)] and calculating w2 Now simplify w2 and find the inner product of the vectors w1 and w2
Determine the orthogonal basis by calculating w1 = w2 - [(23,5)] - < C2, w1 < C1, C₁ > [(-9,-2)] and calculating w2 Now simplify w2 and find the inner product of the vectors w1 and w2
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
I got the top parts, but I'm not sure what is being asked in the bottom parts or how I was supposed to know. Please help. Thank you.
![Let A
basis of R².
Write these columns as vectors.
The columns are C1
-9
and C2:
=
23
-217
9 23
2 5
w1
w2
-2
when written as vectors.
5
The inner product of these vectors is
and < C1, C1 >²
=
and consider the columns of this invertible matrix as a linearly independent
=
Determine the orthogonal basis by calculating
[(23,5)] -
= 85
< C2, w₁ >
< C1, C₁
[(-9,-2)]
and calculating w2
Now simplify w2 and find the inner product of the vectors w1 and w2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F494356ae-2db7-448e-a147-892d80022497%2F7ea21042-7b78-48bf-91d9-178bda7e1c98%2Fiph8k1s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A
basis of R².
Write these columns as vectors.
The columns are C1
-9
and C2:
=
23
-217
9 23
2 5
w1
w2
-2
when written as vectors.
5
The inner product of these vectors is
and < C1, C1 >²
=
and consider the columns of this invertible matrix as a linearly independent
=
Determine the orthogonal basis by calculating
[(23,5)] -
= 85
< C2, w₁ >
< C1, C₁
[(-9,-2)]
and calculating w2
Now simplify w2 and find the inner product of the vectors w1 and w2
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