-3 (a) Find the coordinate vector of x = 2 with respect to the ordered basis 3 of R3: E= 0 -- {B· Q}· A]} -6 [x] E = (b) Let F₁ be the ordered basis of R2 given by F₁ = 3 and let F2 be the ordered basis given by 2 F2 = {[(3³}]} [6]} 2 Find the transition matrix PF+F₁ such that [x] F₂ = PF₁₂+F₁ [x] F₁ for all x in R²: P =
-3 (a) Find the coordinate vector of x = 2 with respect to the ordered basis 3 of R3: E= 0 -- {B· Q}· A]} -6 [x] E = (b) Let F₁ be the ordered basis of R2 given by F₁ = 3 and let F2 be the ordered basis given by 2 F2 = {[(3³}]} [6]} 2 Find the transition matrix PF+F₁ such that [x] F₂ = PF₁₂+F₁ [x] F₁ for all x in R²: P =
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 65E: Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector...
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![-3
(a) Find the coordinate vector of x
=
2
with
respect to the ordered basis
3
of R3:
E=
0
-- {B· Q}· A]}
-6
[x] E =
(b) Let F₁ be the ordered basis of R2 given by
F₁ =
3
and let F2 be the ordered basis given by
2
F2
= {[(3³}]} [6]}
2
Find the transition matrix PF+F₁ such that [x] F₂ = PF₁₂+F₁ [x] F₁ for all x in R²:
P =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa5f3a7f3-10c4-4869-906a-40675d8d17a6%2Fa87f47dd-9bc9-4bee-becd-d5ad890bdfb6%2F55u094s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-3
(a) Find the coordinate vector of x
=
2
with
respect to the ordered basis
3
of R3:
E=
0
-- {B· Q}· A]}
-6
[x] E =
(b) Let F₁ be the ordered basis of R2 given by
F₁ =
3
and let F2 be the ordered basis given by
2
F2
= {[(3³}]} [6]}
2
Find the transition matrix PF+F₁ such that [x] F₂ = PF₁₂+F₁ [x] F₁ for all x in R²:
P =
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