Given that a₁ = a2 A -2 3 and -2 -2 -11- 0- 1 1 and 1 -3 = [a₁ a2 a3 a4 ] and has U = RREF given by 1 0 0 0 1 = 7 -1 2 -5 0 0 00 00 00 00 Knowing that relationship among the columns do not change under RREF, find out what the relationship among the columns of U are,build the relationship among the columns of A, use them to construct a3 and a.

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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Question
-2
3
and
-2
-2
-11-
0-
1
1
=
and
1
-3
A = [a₁ a2 a3 a4 ] and has
RREF given by
1
0
0
0
1
0
Given that a₁ =
a2
U
=
7 -1
2 -5
0
00
00
00
0
0
Knowing that relationship
among the columns do not
change under RREF, find out
what the relationship among the
columns of U are,build the
relationship among the columns
of A, use them to construct a3
and a.
Transcribed Image Text:-2 3 and -2 -2 -11- 0- 1 1 = and 1 -3 A = [a₁ a2 a3 a4 ] and has RREF given by 1 0 0 0 1 0 Given that a₁ = a2 U = 7 -1 2 -5 0 00 00 00 0 0 Knowing that relationship among the columns do not change under RREF, find out what the relationship among the columns of U are,build the relationship among the columns of A, use them to construct a3 and a.
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