7. For which condition on b = (b₁,b2, b3) do there exist solution(s) for the linear system Ax = b? 1 2 3 1 2 4 7 5 3 6 8 0 (a) A = (b) A = 1 122 1 5 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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7. For which condition on b = (b₁,b2, b3) do there exist solution(s) for the linear system Ax = b?
2 3 1
475
6 80
[1
(a) A = 2
3
(b) A =
1
25
2 2 3
12,
Transcribed Image Text:7. For which condition on b = (b₁,b2, b3) do there exist solution(s) for the linear system Ax = b? 2 3 1 475 6 80 [1 (a) A = 2 3 (b) A = 1 25 2 2 3 12,
6. Check whether Az = b is solvable or not i.e., if the vector b =
1 0
A = 1 4
5 3 1
1
[230
321
5? Justify your answer.
2
3 is in the column space of the matrix
Transcribed Image Text:6. Check whether Az = b is solvable or not i.e., if the vector b = 1 0 A = 1 4 5 3 1 1 [230 321 5? Justify your answer. 2 3 is in the column space of the matrix
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