) Let F be the ordered basis of R? given by -{}:} F = nd let F, be the ordered basis given by F2= ind the transition matrix PA E Such that [a]A = Pr, ElzlE for all z in R2:

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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5b
of R3:
[z]E =
(b) Let F, be the ordered basis of IR given by
F =
and let F, be the ordered basis given by
{H}
F2 =
Find the transition matrix Pp, E such that [x]A = Ppe Fx]E for all a in IR
P =
Transcribed Image Text:of R3: [z]E = (b) Let F, be the ordered basis of IR given by F = and let F, be the ordered basis given by {H} F2 = Find the transition matrix Pp, E such that [x]A = Ppe Fx]E for all a in IR P =
(a) Find the coordinate vector of z =
3
with respect to the ordered basis
4
E =
of R3.
[a]E =
(b) Let F be the ordered basis of R?
given by
F =
and let F, be the ordered basis given by
F2 =
Find the transition matrix PE E Such that a B
PE F E for all z in R:
(14
Transcribed Image Text:(a) Find the coordinate vector of z = 3 with respect to the ordered basis 4 E = of R3. [a]E = (b) Let F be the ordered basis of R? given by F = and let F, be the ordered basis given by F2 = Find the transition matrix PE E Such that a B PE F E for all z in R: (14
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