Consider the transformation T: P2 → P3 defined by Check that I' is a linear transformation. T(ao+a₁t+ a₂t²) = (ao+a₁) + a₂t+ a₁t³

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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Consider the transformation T: P2 → P3 defined by
T(a + a₁t+ a₂t²):
=
= (a + a₁) + a₂t + a₁t³
Check that I is a linear transformation.
Transcribed Image Text:Consider the transformation T: P2 → P3 defined by T(a + a₁t+ a₂t²): = = (a + a₁) + a₂t + a₁t³ Check that I is a linear transformation.
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