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Let e₁ = 6 [1], e₂ = [9], Y₁ = [3], and y₂ = [¹], and let T.: R² → R²be a linear transformation that maps e₁ into y₁ and maps e2 into y₂. Find the image of [53] ² and [₁].

Let e₁ = 6 [1], e₂ = [9], Y₁ = [3], and y₂ = [¹], and let T.: R² → R²be a linear transformation that maps e₁ into y₁ and maps e2 into y₂. Find the image of [53] ² and [₁].

Elementary Linear Algebra (MindTap Course List)
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 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...
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Linear Transformation

6 Let e₁ = transformation that maps e₁ into y₁ and maps e2 into y₂. Find the image of [1], e₂ = [9], y₁ = [3], and y₂ = [¯¹], and let T.: R² → R²be a linear [53] and [x²].
Transcribed Image Text:6 Let e₁ = transformation that maps e₁ into y₁ and maps e2 into y₂. Find the image of [1], e₂ = [9], y₁ = [3], and y₂ = [¯¹], and let T.: R² → R²be a linear [53] and [x²].
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