14 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: A = 1 2 13 2 and B = 5 4 63 5 1 This will be a vector Ax and also B. Think 3 by 4 with the matrix [A B].
14 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: A = 1 2 13 2 and B = 5 4 63 5 1 This will be a vector Ax 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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Question
![14
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 4
-61
=
63
5
This will be a vector Ax and also B. Think 3 by 4 with the matrix [AB].
A
1 2
1 3
1
2
and
B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe243852a-5427-4fc7-bd56-ad30d22cf89a%2F962f42dc-d6cd-4178-99cd-6ef707f35b7f%2Flk6ybc9i_processed.png&w=3840&q=75)
Transcribed Image Text:14
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 4
-61
=
63
5
This will be a vector Ax and also B. Think 3 by 4 with the matrix [AB].
A
1 2
1 3
1
2
and
B
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