2. Find the general matrix output in terms of a, b, c, and d of T(ax³ + bx² + cx + d) when–12 12]T: P3 → M22 is a linear transformation with T(2r + 2x² + 2x + 2) =-66[-6 6]-3 4-3-34T(x² + 1)ol, T(20 + x? + x + 1) =and T(1) =-2

in the given question we have to find the genral matrix output in terms of a,b,c,d for this first…

2. Find the general matrix output in terms of a, b, c, and d of T(ar³ + bx² + cx + d) when –12 12] -6 6 T: P3 → M2 is a linear transformation with T(2r³ + 2x² + 2x + 2) = || T(z² + 1) = -6 T(2r³ + x² + x + 1) = -3 4 -2 - and T(1) = -3

2. Find the general matrix output in terms of a, b, c, and d of T(ar³ + bx² + cx + d) when –12 12] -6 6 T: P3 → M2 is a linear transformation with T(2r³ + 2x² + 2x + 2) = || T(z² + 1) = -6 T(2r³ + x² + x + 1) = -3 4 -2 - and T(1) = -3

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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Question

2. Find the general matrix output in terms of a, b, c, and d of T(ax³ + bx² + cx + d) when
–12 12]
T: P3 → M22 is a linear transformation with T(2r + 2x² + 2x + 2) =
-6
6
[-6 6]
-3 4
-3
-3
4
T(x² + 1)
ol, T(20 + x? + x + 1) =
and T(1) =
-2

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