5. Let B {][4]} {} be bases for R². a) Find the change-of-coordinates matrix from B to C b) Find the change-of-coordinates matrix from C to B and C = 3 c) Compute [x]B, where x = = [³] d) Use the results of parts a) and c) to compute [x]c e) Check the result of part of d) by computing [x]e directly
5. Let B {][4]} {} be bases for R². a) Find the change-of-coordinates matrix from B to C b) Find the change-of-coordinates matrix from C to B and C = 3 c) Compute [x]B, where x = = [³] d) Use the results of parts a) and c) to compute [x]c e) Check the result of part of d) by computing [x]e directly
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
![{[3][4]}
{[]} be bases for R².
a) Find the change-of-coordinates matrix from B to C
b) Find the change-of-coordinates matrix from C to B
5. Let B =
and C
3
c) Compute [x], where x = [³]
d) Use the results of parts a) and c) to compute [x]e
e) Check the result of part of d) by computing [x]e directly](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0e10355-5716-44c5-8858-66d52fccb53f%2F31601999-c15e-4387-b010-b97b4707cd28%2F14mg31i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:{[3][4]}
{[]} be bases for R².
a) Find the change-of-coordinates matrix from B to C
b) Find the change-of-coordinates matrix from C to B
5. Let B =
and C
3
c) Compute [x], where x = [³]
d) Use the results of parts a) and c) to compute [x]e
e) Check the result of part of d) by computing [x]e directly
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