Which of the following matrices of rationals is in reduced row- echelon form? 1 0 0 -3 1 (a) 1 4 (b) 0. 1 -4 (c) 0 1 0. 0 0 1 -1 3 1 -2 0 0 1 2 0 0 0 0 0 0 0 0 0 (f) 0 1 2 0 0 00 0 0 0 0 0 1 0 1 0 0 -1 1 0. 2 (d) (e) 4 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 (g) 0 0 2 1 -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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Question
Which of the following matrices of rationals is in reduced row-echelon
form?
1
0 0
-3
1
(a)
1
4
(b)
0.
1
-4
(c)
0 1
0.
0 0 1
-1
3
1
-2
0 0
1 2 0 0
0 0
0 1
2
0 0 00
0 0
0 0
0 0 0 1
0 1
0 0
-1
1
2
(d)
(e)
4
0.
(f)
0 0
1
0 0 0 0
0 0
0 0 0
1
0 0
1
0 0
2
(g)
1
-1
0 0
Transcribed Image Text:Which of the following matrices of rationals is in reduced row-echelon form? 1 0 0 -3 1 (a) 1 4 (b) 0. 1 -4 (c) 0 1 0. 0 0 1 -1 3 1 -2 0 0 1 2 0 0 0 0 0 1 2 0 0 00 0 0 0 0 0 0 0 1 0 1 0 0 -1 1 2 (d) (e) 4 0. (f) 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 2 (g) 1 -1 0 0
13
()
9.
If A is a 3 x 3 matrix such that A 1
and A 4
1
then the product A 7
is
%3D
%3D
8
Transcribed Image Text:13 () 9. If A is a 3 x 3 matrix such that A 1 and A 4 1 then the product A 7 is %3D %3D 8
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