You are given that the rref of the augmented matrix: 5 -25 3 -6 -14 | 8 -3 15 -2 5 -10 6. -8 -20 5 -23 I -6 rref: 0 3 -4 -5 -7 a.Find a set of vectors S such that Span(S) is the rowspace of A. b.Find a a set of vectors T such that Span(T) is the columnspace of A. C.Express the "rejected" (not used) columns of A as linear combinations of the vectors in (b). d.Find a a set of vectors N such that Span(N) is the nullspace of A. e.Express all solutions of the matrix system Ax=b, if any, in terms of a sum x_{p} +x_{h}, where x_{p} is a particular solution, and x_{h} is a member of the nullspace of A. 1. 2.
You are given that the rref of the augmented matrix: 5 -25 3 -6 -14 | 8 -3 15 -2 5 -10 6. -8 -20 5 -23 I -6 rref: 0 3 -4 -5 -7 a.Find a set of vectors S such that Span(S) is the rowspace of A. b.Find a a set of vectors T such that Span(T) is the columnspace of A. C.Express the "rejected" (not used) columns of A as linear combinations of the vectors in (b). d.Find a a set of vectors N such that Span(N) is the nullspace of A. e.Express all solutions of the matrix system Ax=b, if any, in terms of a sum x_{p} +x_{h}, where x_{p} is a particular solution, and x_{h} is a member of the nullspace of A. 1. 2.
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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plz solve d and e part
Transcribed Image Text:You are given that the rref of the augmented matrix:
-25 3 -6
-14
-3
15
-2
8
-10
0 6
-8
4
-20
-23
-6
rref:
-5
0 3 1
-4
1.
-7
|
0 0 0
0 0 0
a.Find a set of vectors S such that Span(S) is the rowspace of A.
b.Find a a set of vectors T such that Span(T) is the columnspace of A.
c.Express the "rejected" (not used) columns of A as linear combinations of the vectors in (b).
d.Find a a set of vectors N such that Span(N) is the nullspace of A.
e. Express all solutions of the matrix system Ax=b, if any, in terms of a sum x_{p} + x_{h}, where
x_{p} is a particular solution, and x_{h} is a member of the nullspace of A.
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