1 -3 2 0 1 0 1 -7 2 0 0 1 -3 0 1 -6 5 -7 4 3. You are given that A = 0 0 0 0 4 -12 7 7 2 3 -1 -7 1 0 0 1 -6 1 and w = 7 Let u = -7 -2 (i) Find a basis for Nul A. (ii) Determine if the vector u is in the column space of A. (iii) Determine if the vector w is in the row space of A.

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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1 -3 2
0 1
5 -7 4
0 1
0 1 -7 2
0 0
1
-3
-6
3. You are given that A =
0 0
0 0
4 -12
7
7 2
3 -1 -7 1
0 0
2
1
-6
1
and w =
7
Let u =
-7
-2
(i) Find a basis for Nul A.
(ii) Determine if the vector u is in the column space of A.
(iii) Determine if the vector w is in the row space of A.
Transcribed Image Text:1 -3 2 0 1 5 -7 4 0 1 0 1 -7 2 0 0 1 -3 -6 3. You are given that A = 0 0 0 0 4 -12 7 7 2 3 -1 -7 1 0 0 2 1 -6 1 and w = 7 Let u = -7 -2 (i) Find a basis for Nul A. (ii) Determine if the vector u is in the column space of A. (iii) Determine if the vector w is in the row space of A.
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