et B = and C = {c1,c2} be bases for a vector space V, and suppose b, = 8c, - 5c2 and b2 = - 7c, + 9c2. Find the change-of-coordinates matrix from B to C. Find [x]c for x= - 6b, +4b2. Use part (a). 8 -7 P = C+B - 5 [x]c = Simplify your answer.)
et B = and C = {c1,c2} be bases for a vector space V, and suppose b, = 8c, - 5c2 and b2 = - 7c, + 9c2. Find the change-of-coordinates matrix from B to C. Find [x]c for x= - 6b, +4b2. Use part (a). 8 -7 P = C+B - 5 [x]c = Simplify your answer.)
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
![Let B =
{b1.b2} and C =
be bases for a vector space V, and suppose b, = 8c, - 5c2 and b2 = - 7c1 + 9c2.
%3D
a. Find the change-of-coordinates matrix from B to C.
b. Find [x]c for x = - 6b, +4b2. Use part (a).
8 -7
а.
P
C-B
- 5
b. [x]c
(Simplify your answer.)
II](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3128d9e2-e802-40b2-a444-5ed816f99dd9%2Fbc0a70f1-cc62-49bf-86dd-36b41b70f99d%2Fj9vx4ck_processed.png&w=3840&q=75)
Transcribed Image Text:Let B =
{b1.b2} and C =
be bases for a vector space V, and suppose b, = 8c, - 5c2 and b2 = - 7c1 + 9c2.
%3D
a. Find the change-of-coordinates matrix from B to C.
b. Find [x]c for x = - 6b, +4b2. Use part (a).
8 -7
а.
P
C-B
- 5
b. [x]c
(Simplify your answer.)
II
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