Let T: P₂P₁ be a linear transformation for which T(1) = 4 + x, T(x) = 5 - 2x, and 7(x²) = 3 + 3x. Find T(4-x + 3x2) and T(a + bx + Cx²). T(4-x + 3x²) = T(a + bx + cx2) =
Let T: P₂P₁ be a linear transformation for which T(1) = 4 + x, T(x) = 5 - 2x, and 7(x²) = 3 + 3x. Find T(4-x + 3x2) and T(a + bx + Cx²). T(4-x + 3x²) = T(a + bx + cx2) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Let T: P₂P₁ be a linear transformation for which
T(1) = 4 + x, T(x) = 5 - 2x, and 7(x²) = 3 + 3x.
Find T(4-x + 3x2) and T(a + bx + cx²).
T(4- x + 3x²) =
T(a + bx + cx²)
=
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