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)
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Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 66E
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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.
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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