2. Consider the transformation T : P₂ → R2×2 defined by a T(ax² + bx + c) = ( c² a-b 2 c+3a Prove whether or not this transformation is linear. If not linear provide a counterexample.

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
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2. Consider the transformation T : P₂ → R2×2 defined by
a
T(ax² + bx + c)
=
( c²
a-b
2 c+3a
Prove whether or not this transformation is linear. If not linear provide a counterexample.
Transcribed Image Text:2. Consider the transformation T : P₂ → R2×2 defined by a T(ax² + bx + c) = ( c² a-b 2 c+3a Prove whether or not this transformation is linear. If not linear provide a counterexample.
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