(Left nullspace) Add the extra column b and reduce A to echelon form: 1 2 3 b₁ 1 2 3 b₁ [A b] = 4 5 6 b2 → 0-3-6 b2-4b1 789 63 0 00 b3 - 252 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 262 + 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 b₁ 1 2 3 b₁ [A b] = 4 5 6 b2 → 0-3-6 b2-4b1 789 63 0 00 b3 - 252 + b₁ A combination of the rows of A has produced the zero row. What combination is it? (Look at b3 - 262 + 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 b₁
1 2 3
b₁
[A b]
= 4 5 6 b2
→
0-3-6
b2-4b1
789
63
0
00
b3 - 252 + 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%2Ffed13399-1f22-42d9-8c25-d023a4ea5dc8%2F02fa9ee3-c0ab-4d78-9be2-7607dc0e14c8%2Fv52g43_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 b₁
1 2 3
b₁
[A b]
= 4 5 6 b2
→
0-3-6
b2-4b1
789
63
0
00
b3 - 252 + 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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