2. Consider the following matrices: 1 1 0 10 1 € M3x3(Z₂), 0 1 1, (3) 2 1 1 2 € M3x2(Z3), 112 2001 M3x4(Q). 1 1 2 1 (a) Put each A into reduced row echelon form R. (b) Put each R into column echelon form. (c) For each A, find B, C as in Corollary 1 of Theorem 3.6 in the book.
2. Consider the following matrices: 1 1 0 10 1 € M3x3(Z₂), 0 1 1, (3) 2 1 1 2 € M3x2(Z3), 112 2001 M3x4(Q). 1 1 2 1 (a) Put each A into reduced row echelon form R. (b) Put each R into column echelon form. (c) For each A, find B, C as in Corollary 1 of Theorem 3.6 in the book.
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:2. Consider the following matrices:
1 1 0
2 1
(9)
1 0 1 € M3x3(Z2), 1 2 € M3x2(Z3),
0 1 1,
21
1121
2001 € M3x4(Q).
1 121
(a) Put each A into reduced row echelon form R.
(b) Put each R into column echelon form.
(c) For each A, find B, C as in Corollary 1 of Theorem 3.6 in the book.
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