(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 bi = [Ab] 4 5 6 b₂ - 7 8 9 b3 2 3 0-3-6 b₁ b₂-4b₁ b3-2b2+b 0 0 0 A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?
(Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 bi = [Ab] 4 5 6 b₂ - 7 8 9 b3 2 3 0-3-6 b₁ b₂-4b₁ b3-2b2+b 0 0 0 A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT and which vectors are in the nullspace of A?
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
![(Left nullspace) Add the extra column b and reduce A to echelon form:
[1 2 3
[Ab] 4 5 6
bi
1
b₂
→
2 3
0-3 -6
7 8 9 b3
0
00
bi
b2-4b₁
b3 - 2b2 + b₁
A combination of the rows of A has produced the zero row. What combination is it?
(Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT
and which vectors are in the nullspace of A?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15ba9143-14bf-4b1d-8c26-3af5e6a7ddec%2Fd1a02718-f1f6-4182-942f-b0ed3907be49%2Fap6bsik_processed.png&w=3840&q=75)
Transcribed Image Text:(Left nullspace) Add the extra column b and reduce A to echelon form:
[1 2 3
[Ab] 4 5 6
bi
1
b₂
→
2 3
0-3 -6
7 8 9 b3
0
00
bi
b2-4b₁
b3 - 2b2 + b₁
A combination of the rows of A has produced the zero row. What combination is it?
(Look at b3 - 2b2+ b₁ on the right side.) Which vectors are in the nullspace of AT
and which vectors are in the nullspace of A?
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