The matrices [8]. A₂ = [] ^--^-i [] , A4 = form a basis for the linear space V = R 2x2. Write the matrix of the linear transformation T: R2x2 →R 2x2 T(A) = 3A + 10AT relative to this basis. such that A₁ = A3 =
The matrices [8]. A₂ = [] ^--^-i [] , A4 = form a basis for the linear space V = R 2x2. Write the matrix of the linear transformation T: R2x2 →R 2x2 T(A) = 3A + 10AT relative to this basis. such that A₁ = A3 =
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 66E
Related questions
Question
![The matrices
A₁ =
A3
[]
=
^--^-
A₂ =
[]
=[]
A4
form a basis for the linear space V = R 2x2. Write the matrix of the linear transformation T: R 2x2R 2x2 such that
T(A) = 3A + 10AT relative to this basis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35aa2f29-bea4-4022-a88a-feffc2690f28%2Fdfc6a873-ec5b-49f1-9207-6b33984219fa%2Fqmfnmv6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The matrices
A₁ =
A3
[]
=
^--^-
A₂ =
[]
=[]
A4
form a basis for the linear space V = R 2x2. Write the matrix of the linear transformation T: R 2x2R 2x2 such that
T(A) = 3A + 10AT relative to this basis.
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