Consider the ordered bases B = { a. Find the transition matrix from C to B. 188 b. Find the coordinates of u = [u] B 18 [v]B= 3 [³₂] =([][])} and and C= in the ordered basis B. } for the vector space R2. c. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]c = - [22] 18

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Linear algebra 7
Consider the ordered bases B = {
a. Find the transition matrix from C to B.
188
b. Find the coordinates of u =
[u] B
(1) and
-18
[V]B
3
[³₂]
=([2][4]
and C=
in the ordered basis B.
} for the vector space.
R²
c. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]c =
= [22]
-8
Transcribed Image Text:Consider the ordered bases B = { a. Find the transition matrix from C to B. 188 b. Find the coordinates of u = [u] B (1) and -18 [V]B 3 [³₂] =([2][4] and C= in the ordered basis B. } for the vector space. R² c. Find the coordinates of v in the ordered basis B if the coordinate vector of v in C is [v]c = = [22] -8
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