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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