For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the answer sheets, circle the leading ones and pivot columns. • If no, very briefly explain why it is not.

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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please very soon ONLY PARTS (a),(b),(c),(d) REQUIRE

1. For each of the matrices below, determine whether it is RREF.
• If yes, copy the matrix on the answer sheets, circle the leading ones and write down the index of the
pivot columns.
• If no, very briefly explain why it is not.
(a)
(c)
(f)
1 0 1 0
02 1 0
0 0 0 1/
(1 0 0 1
0 0 1 1
0 1 0 0
1 0 1 10 3
0 1 100 5
0 0 0 0 1 0
0 0 0 0 0 0
(d)
(g)
1 00 0
0 100
1 10 10 1
0 0 1 1 0 -1
0 0 1 0
0 0 0 1
0 0 0 0 0
(b)
0 0 0 0 1
(h)
(10 1 1
10 2001
0 1 2 0 0 1
00 0 1 0 1
10 0 0 1
011
1 3 0 1 1 1
0 0 1 10 -1
0 0 0 0 1 1
0 0 0 0
0 0 0 0
0 1 1 1/
Transcribed Image Text:1. For each of the matrices below, determine whether it is RREF. • If yes, copy the matrix on the answer sheets, circle the leading ones and write down the index of the pivot columns. • If no, very briefly explain why it is not. (a) (c) (f) 1 0 1 0 02 1 0 0 0 0 1/ (1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 10 3 0 1 100 5 0 0 0 0 1 0 0 0 0 0 0 0 (d) (g) 1 00 0 0 100 1 10 10 1 0 0 1 1 0 -1 0 0 1 0 0 0 0 1 0 0 0 0 0 (b) 0 0 0 0 1 (h) (10 1 1 10 2001 0 1 2 0 0 1 00 0 1 0 1 10 0 0 1 011 1 3 0 1 1 1 0 0 1 10 -1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1/
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