consider the following. B = {(2, -1), (-1, 1)}, B'= {(-12, 0), (-4, 4)}, [3] (a) Find the transition matrix from B to B'. [x]B' = p-1: = P = X -12 PP-1 12 (b) Find the transition matrix from B' to B. -1/12 1/4 0 0 1/4 4 (c) Verify that the two transition matrices are inverses of e 0 4 Search

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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consider the following.
B = {(2, -1), (-1, 1)}, B'= {(-12, 0), (-4, 4)},
[3]
(a) Find the transition matrix from B to B'.
[x]B' =
p-1:
=
P =
X
-12
PP-1
12
(b) Find the transition matrix from B' to B.
-1/12
1/4
0
0
1/4
4
(c) Verify that the two transition matrices are inverses of e
0
4
Search
Transcribed Image Text:consider the following. B = {(2, -1), (-1, 1)}, B'= {(-12, 0), (-4, 4)}, [3] (a) Find the transition matrix from B to B'. [x]B' = p-1: = P = X -12 PP-1 12 (b) Find the transition matrix from B' to B. -1/12 1/4 0 0 1/4 4 (c) Verify that the two transition matrices are inverses of e 0 4 Search
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