Consider the following. B = {(0, 1, 4), (-1, 1, 4), (-2, 2, 12)}, B' = {(10, 3, -3), (3, 1, -1), (-6, -2,3)}, 1 0 2 (a) Find the transition matrix from B to B'. [x]B' = p-1 = (b) Find the transition matrix from B' to B. P = ↓ 1 (c) Verify that the two transition matrices are inverses of each other. PP-1 = (d) Find the coordinate matrix [x]a, given the coordinate matrix [×]8'.

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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(c) Verify that the two transition matrices are inverses of each other.
E
Pp-1 =
(d) Find the coordinate matrix [x]a, given the coordinate matrix [x]*
[x]B =
Submit Answer
11
41
Transcribed Image Text:(c) Verify that the two transition matrices are inverses of each other. E Pp-1 = (d) Find the coordinate matrix [x]a, given the coordinate matrix [x]* [x]B = Submit Answer 11 41
Consider the following.
B = {(0, 1, 4), (-1, 1, 4), (-2, 2, 12)}, B' = {(10, 3, -3), (3, 1, -1), (-6, -2, 3)},
1
- [232
(a) Find the transition matrix from B to B'.
[x] B =
p-1
||
(b) Find the transition matrix from B' to B.
P =
↓ 1
(c) Verify that the two transition matrices are inverses of each other.
pp-¹ =
11
(d) Find the coordinate matrix [x]a, given the coordinate matrix [x]8.
Transcribed Image Text:Consider the following. B = {(0, 1, 4), (-1, 1, 4), (-2, 2, 12)}, B' = {(10, 3, -3), (3, 1, -1), (-6, -2, 3)}, 1 - [232 (a) Find the transition matrix from B to B'. [x] B = p-1 || (b) Find the transition matrix from B' to B. P = ↓ 1 (c) Verify that the two transition matrices are inverses of each other. pp-¹ = 11 (d) Find the coordinate matrix [x]a, given the coordinate matrix [x]8.
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