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
Related questions
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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05295cc1-71f0-4e3b-b6f8-2c1731c6d617%2Fbfb74bfc-58d9-42a2-9a8a-aeef1971129a%2Fbo5jwi_processed.png&w=3840&q=75)
Transcribed Image Text: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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