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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
B = {(7, 8, 4), (3, 4, 2), (6, 8, 5)}, B' = {(10, 3, 6), (3, 1, 2), (3, 1, 3)},
[x]B' =
|
|
|||
2 | ||||
−1 |
(a) Find the transition matrix from B to B'.
(b) Find the transition matrix from B' to B.
(c) Verify that the two transition matrices are inverses of each other.
(d) Find the coordinate matrix [x]B , given the coordinate matrix [x]B'.
P−1 = |
|
(b) Find the transition matrix from B' to B.
P = |
|
(c) Verify that the two transition matrices are inverses of each other.
PP−1 = |
|
(d) Find the coordinate matrix [x]B , given the coordinate matrix [x]B'.
[x]B = |
|
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- Let B = {ü,,ü,}, B'={v,v,} be two bases in R, where %| ü, %3D 3 (a) Find the transition matrix from B' to B. (b) Find the transition matrix from B to B'.arrow_forwardConsider the following. B = {(-2, -12, -6), (1, 4, 2), (3, 12, 7)}, B' = {(−1, 1, 3), (-2, 1, 3), (-2, 1, 4)}, [x] B¹ (a) Find the transition matrix from B to B'. P-1 = P = 2 (b) Find the transition matrix from B' to B. PP-1 = -26, 9, 27 -16, 5, 14 -10, -29 (c) Verify that the two transition matrices are inverses of each other. [x] B = ↓ 1 (d) Find the coordinate matrix [x]B, given the coordinate matrix [×]B'.arrow_forward5) PLEASE ANSWER EACH QUESTION, THANKS.arrow_forward
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