Let T : ℝ² → ℝ² be a linear transformation defined by T(x, y) = (3x - 2y, x + 4y). Find the image of the vector (1, 2) under this transformation.

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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Let T : ℝ² → ℝ² be a linear transformation defined by T(x, y) = (3x - 2y, x + 4y). Find the image of the vector (1, 2) under this transformation.

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