3. Let d= = [( ) ( ) ( ) ( )], B = [1, 2, 2²), v = (¹). " (a) If f(x)=x²-3x+2, compute [ƒ(x)]ß. -1 2 (b) If A = (33), compute [A]a- (c) Define T: M2x2(F.) → M2×2(F) by T(A) = AT. Compute [T]a. (d) Define T : P2(R) → M2×2(R) by T(f(x)) = (F(0) 25 (3) Compute [T].
3. Let d= = [( ) ( ) ( ) ( )], B = [1, 2, 2²), v = (¹). " (a) If f(x)=x²-3x+2, compute [ƒ(x)]ß. -1 2 (b) If A = (33), compute [A]a- (c) Define T: M2x2(F.) → M2×2(F) by T(A) = AT. Compute [T]a. (d) Define T : P2(R) → M2×2(R) by T(f(x)) = (F(0) 25 (3) Compute [T].
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
Please do A, b and c
![3. Let
d=
= [( ) ( ) ( ) ( )], B = [1,2, 2²), v = (¹).
"
(a) If f(x)=x²-3x+2, compute [ƒ(x)]ß.
-1
(b) If A =
(3¹2), compute [A]..
(c) Define T: M2×2(F.) → M2×2(F) by T(A) = AT. Compute [T]a.
Compute [T].
(d) Define T : P2(R) → M2×2(R) by T(f(x)) = (F'(0) 24 (3)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2e5f7ff8-f5e0-4f7d-9309-1cbc09afa824%2F1048b110-37b9-4a56-9099-f2b76923a75f%2Fa67orjt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Let
d=
= [( ) ( ) ( ) ( )], B = [1,2, 2²), v = (¹).
"
(a) If f(x)=x²-3x+2, compute [ƒ(x)]ß.
-1
(b) If A =
(3¹2), compute [A]..
(c) Define T: M2×2(F.) → M2×2(F) by T(A) = AT. Compute [T]a.
Compute [T].
(d) Define T : P2(R) → M2×2(R) by T(f(x)) = (F'(0) 24 (3)
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