12. Let B = {(2, 1), (3, 4)} and D = {(1,1), (2,3)}, both of which are ordered bases for Z3.Let M = [id]B be a change of basis matrix. Which one of the following is true?4 64 13 3(a) M(b) М —6(c) M =112 11(d) М —4 1(e) M =2 65 5

12. Let B = {(2, 1), (3, 4)} and D = {(1,1), (2, 3)}, both of which are ordered bases for Z3. Let M = [id] be a change of basis matrix. Which one of the following is true? 4 6 4 1 3 3 (a) M = 1 (b) М — (c) M = 6 1 1 3 4 1 (d) м (е) М— 5 5 2 6

12. Let B = {(2, 1), (3, 4)} and D = {(1,1), (2, 3)}, both of which are ordered bases for Z3. Let M = [id] be a change of basis matrix. Which one of the following is true? 4 6 4 1 3 3 (a) M = 1 (b) М — (c) M = 6 1 1 3 4 1 (d) м (е) М— 5 5 2 6

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

12. Let B = {(2, 1), (3, 4)} and D = {(1,1), (2,3)}, both of which are ordered bases for Z3.
Let M = [id]B be a change of basis matrix. Which one of the following is true?
4 6
4 1
3 3
(a) M
(b) М —
6
(c) M =
1
1
2 1
1
(d) М —
4 1
(e) M =
2 6
5 5

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