Encontre a expressão da transformação linear T: P3(R) → P₂(R) definida por T(1 + 2t + ²) = 4+ 5t², T(t² + 2t³) = − 3t+ 4² e T(t-1³) = 2 + t, T(-³) = 2 + t - 21².

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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translated text: find the expression of the linear transformation ______ defined by:

Encontre a expressão da transformação linear T: P3(R) → P₂(R) definida por
T(1 + 2t + t²) = 4 + 5t²,
T(t-t³) = 2 + t,
T(t² + 2t³) = − 3t+ 4t²_e_T(-t²³) = 2 + t = 2t².
Transcribed Image Text:Encontre a expressão da transformação linear T: P3(R) → P₂(R) definida por T(1 + 2t + t²) = 4 + 5t², T(t-t³) = 2 + t, T(t² + 2t³) = − 3t+ 4t²_e_T(-t²³) = 2 + t = 2t².
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