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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda955468-184d-4202-ac03-28b4a2c8314c%2F8bcb036d-e167-451d-a14e-35a951f70eb9%2F4hql0hv_processed.png&w=3840&q=75)
Transcribed Image Text: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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