Consider the following. B = {(2, 1), (1, 1)), B' = {(-12, 0), (-4,4)}, -[-] (a) Find the transition matrix from B to B'. [x] 8 p-1- (b) Find the transition matrix from B' to B. P= PPT = UT (c) Verify that the two transition matrices are inverses of each other. 11 [x] = (d) Find the coordinate matrix [×]8, given the coordinate matrix [×]8 11 LT 10

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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Consider the following.
B = {(2, 1), (1, 1)), B' = {(-12, 0), (-4, 4)),
[-]
3
(a) Find the transition matrix from B to B'.
[x] =
p-1_
(b) Find the transition matrix from B to B.
PE
(c) Verify that the two transition matrices are inverses of each other.
PPT =
11
(d) Find the coordinate matrix [x]8, given the coordinate matrix [x]8₁
XB
LT
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] = p-1_ (b) Find the transition matrix from B to B. PE (c) Verify that the two transition matrices are inverses of each other. PPT = 11 (d) Find the coordinate matrix [x]8, given the coordinate matrix [x]8₁ XB LT
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