The floor V and the wall W are not orthogonal subspaces, because they share a nonzero vector (along the line where they meet). No planes V and W in R³ can be orthogonal! Find a vector in the column spaces of both matrices: [5 A1 3 and B=6 3 2 This will be a vector Az and also B. Think 3 by 4 with the matrix [A B].
The floor V and the wall W are not orthogonal subspaces, because they share a nonzero vector (along the line where they meet). No planes V and W in R³ can be orthogonal! Find a vector in the column spaces of both matrices: [5 A1 3 and B=6 3 2 This will be a vector Az and also B. Think 3 by 4 with the matrix [A B].
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![The floor V and the wall W are not orthogonal subspaces, because they share a
nonzero vector (along the line where they meet). No planes V and W in R³ can be
orthogonal! Find a vector in the column spaces of both matrices:
[1 2
3
A1
2
5
4
and
B=63
5
This will be a vector Az and also B. Think 3 by 4 with the matrix [A B].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F386e2f44-6f4f-4847-b487-f637f7f43a6e%2F9a1cc32d-6087-4e77-bcb4-1117a000dafc%2Fn9h0pyo_processed.png&w=3840&q=75)
Transcribed Image Text:The floor V and the wall W are not orthogonal subspaces, because they share a
nonzero vector (along the line where they meet). No planes V and W in R³ can be
orthogonal! Find a vector in the column spaces of both matrices:
[1 2
3
A1
2
5
4
and
B=63
5
This will be a vector Az and also B. Think 3 by 4 with the matrix [A B].
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