Show that the into R² defined by T₁ = ( 9₁ ₂1₂) — 172,9₁) and T2: (F₁, F₂) → (Y¶₁₂ Y {₂) : are linear. operators Ti and T₂ from R²³²

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 3CM: Let T:RnRm be the linear transformation defined by T(v)=Av, where A=[30100302]. Find the dimensions...
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Show that the operators T₁ and T₂ from R²
into R² defined by
T₁ = ( 9₁0 9₂ ) → 129₁) and T2: (9₁, F₂) →>> (Y¶₁₂ Y{₂)
:
2
are linear.
Transcribed Image Text:Show that the operators T₁ and T₂ from R² into R² defined by T₁ = ( 9₁0 9₂ ) → 129₁) and T2: (9₁, F₂) →>> (Y¶₁₂ Y{₂) : 2 are linear.
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