15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 21 -1)
15. Let A be a 4 x 5 matrix and let U be the reduced row echelon form of A. If 21 -1)
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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Transcribed Image Text:al
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15. Let A be a 4 x 5 matrix and let U be the reduced
row echelon form of A. If
2
a₁ =
U =
-3
-2
b =
-
10
0
1
0
0
"
0
5
3
4
a₂ =
20
3 0 -2
5
(a) find a basis for N(A).
(b) given that xo is a solution to Ax = b, where
2
3
1
001
0000
and Xo =
=
3
2
0
2
0
(i) find all solutions to the system.
(ii) determine the remaining column vectors
of A.
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