Let 7₁ = [1, 0, 0], 72 = [1, 1, −4] and №3 = [1,-1,2], so that S = {1, 22, 23} and C= {V1, V2, V3} are bases of R³. If a linear transformation T : R³ → R³ has the matrix −1 0 3 1) [T]ss= 1 -1 2 -3 -3 both domain and codomain), find [T]cc. = with respect to the basis S (for The matrix of T with respect to basis C (for domain and codomain) is [T]cc
Let 7₁ = [1, 0, 0], 72 = [1, 1, −4] and №3 = [1,-1,2], so that S = {1, 22, 23} and C= {V1, V2, V3} are bases of R³. If a linear transformation T : R³ → R³ has the matrix −1 0 3 1) [T]ss= 1 -1 2 -3 -3 both domain and codomain), find [T]cc. = with respect to the basis S (for The matrix of T with respect to basis C (for domain and codomain) is [T]cc
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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![Let 7₁ = [1, 0, 0], 72 = [1, 1, −4] and №3 = [1,-1,2], so
that S = {1, 22, 23} and C= {V1, V2, V3} are bases of
R³. If a linear transformation T : R³ → R³ has the matrix
−1 0 3
1)
[T]ss= 1 -1
2
-3 -3
both domain and codomain), find [T]cc.
=
with respect to the basis S (for
The matrix of T with respect to basis C (for domain and
codomain) is [T]cc](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9afe4d0e-2011-4de8-90c5-4b598cb1f56d%2F7f29351b-5278-49cc-872e-c1bf61995660%2Fifpdxz6_processed.png&w=3840&q=75)
Transcribed Image Text:Let 7₁ = [1, 0, 0], 72 = [1, 1, −4] and №3 = [1,-1,2], so
that S = {1, 22, 23} and C= {V1, V2, V3} are bases of
R³. If a linear transformation T : R³ → R³ has the matrix
−1 0 3
1)
[T]ss= 1 -1
2
-3 -3
both domain and codomain), find [T]cc.
=
with respect to the basis S (for
The matrix of T with respect to basis C (for domain and
codomain) is [T]cc
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