Let fi =1+2r– 2r², f2 = 2+3r – 4r², f3 = 1+4x – r² and set B = (f1, f2, f3). T:R2[r] → M2×2(R) is a linear transformation which satisfies T(S) = (; :) .Ts) = (; ) . T5) = (; %)- Determine T(1), T(z), and T(r²) and then a formula for T(ao + a,x+azx²).
Let fi =1+2r– 2r², f2 = 2+3r – 4r², f3 = 1+4x – r² and set B = (f1, f2, f3). T:R2[r] → M2×2(R) is a linear transformation which satisfies T(S) = (; :) .Ts) = (; ) . T5) = (; %)- Determine T(1), T(z), and T(r²) and then a formula for T(ao + a,x+azx²).
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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![Let fi =1+2r - 2x², f2 = 2+3x – 4x², f3 = 1+4x – x² and set
B = (f1; f2, f3). T :R2[x] → M2×2(R) is a linear transformation which satisfies
T(fi) = (; 5).T)
„T') = (; :).T(s) =
5 10,
3
Determine T(1), T(r), and T(x²) and then a formula for T(ao +a1x+azx²).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb6767d7-863f-4d52-8b62-a1300c6c16b0%2F0afcf063-b682-4d20-a29e-74cffa9fe80e%2F6mg2tzf_processed.png&w=3840&q=75)
Transcribed Image Text:Let fi =1+2r - 2x², f2 = 2+3x – 4x², f3 = 1+4x – x² and set
B = (f1; f2, f3). T :R2[x] → M2×2(R) is a linear transformation which satisfies
T(fi) = (; 5).T)
„T') = (; :).T(s) =
5 10,
3
Determine T(1), T(r), and T(x²) and then a formula for T(ao +a1x+azx²).
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