Consider the bases ?={?1,?2} and ?′={?1,?2} where?1=6+3?; ?2=10+2?; ?1=2; ?2=3+2?.a. Find the transition matrix from ?′ to ?.b. Find the transition matrix from ? to ?′.c. Find the coordinate matrix [?]? if ?=−4+?.Find [?]?′ using the above results.d. Find [?]?′ directly. Consider the bases B = {p,,p,} and B' = {q1,92} whereP1 = 6+ 3x; P2 = 10 + 2x; q, = 2; q2 =3 + 2x.а.Find the transition matrix from B' to B.b. Find the transition matrix from B to B'.c. = -4 + x.Find the coordinate matrix [p]B if pFind [p];' using the above results.d. Find [p]g' directly.

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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 bases ?={?1,?2} and ?′={?1,?2} where
?1=6+3?; ?2=10+2?; ?1=2; ?2=3+2?.
a. Find the transition matrix from ?′ to ?.
b. Find the transition matrix from ? to ?′.
c. Find the coordinate matrix [?]? if ?=−4+?.
Find [?]?′ using the above results.
d. Find [?]?′ directly.

Consider the bases B = {p,,p,} and B' = {q1,92} where
P1 = 6+ 3x; P2 = 10 + 2x; q, = 2; q2 =
3 + 2x.
а.
Find the transition matrix from B' to B.
b. Find the transition matrix from B to B'.
c. = -4 + x.
Find the coordinate matrix [p]B if p
Find [p];' using the above results.
d. Find [p]g' directly.

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