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
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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff29743aa-20ba-4376-81ba-ec57f5b19078%2F8fed1a12-0feb-4ff9-9f6f-18740ee3cb15%2Fivai29_processed.jpeg&w=3840&q=75)
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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