(a) Find the transition matrix from B to B'. P-1 = P = -26, 9, 27 (b) Find the transition matrix from B' to B. -16, 5, 14 -10, -29 PP-1 = (c) Verify that the two transition matrices are inverses of each other. 00 000
(a) Find the transition matrix from B to B'. P-1 = P = -26, 9, 27 (b) Find the transition matrix from B' to B. -16, 5, 14 -10, -29 PP-1 = (c) Verify that the two transition matrices are inverses of each other. 00 000
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider 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'.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16bd0b9e-d7fd-4509-a1b6-0e4e4045ffc8%2Fed638711-3119-4331-a9af-2585c3bb91c3%2F6i5iycph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider 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'.
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