part d, e, f please R?.Consider the ordered bases B = ((1,1), (0,1)) and C = ((1, –2), (-4, –4)) for the vector spacea. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)).E-Cb. Find the transition matrix from B to E.Рc. Find the transition matrix from E to B.PB+Ed. Find the transition matrix from C to B.BECe. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B= [ u]E.[u]B =f. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is (v]c = (-2, -1).[v]B =

Answered: Image /qna-images/answer/bfb74bfc-58d9-42a2-9a8a-aeef1971129a.jpg

d. Find the transition matrix from C to B. P = B-C e. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B = [ u]E. BEE [u]B: f. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C'is [v]c = (-2, -1). [v]B =

d. Find the transition matrix from C to B. P = B-C e. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B = [ u]E. BEE [u]B: f. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C'is [v]c = (-2, -1). [v]B =

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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Question

part d, e, f please

R?.
Consider the ordered bases B = ((1,1), (0,1)) and C = ((1, –2), (-4, –4)) for the vector space
a. Find the transition matrix from C to the standard ordered basis E = ((1,0), (0, 1)).
E-C
b. Find the transition matrix from B to E.
Р
c. Find the transition matrix from E to B.
P
B+E
d. Find the transition matrix from C to B.
BEC
e. Find the coordinates of u = (-2, –1) in the ordered basis B. Note that [u]B= [ u]E.
[u]B =
f. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is (v]c = (-2, -1).
[v]B =

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