1. Let T: M2x2→→ P₂ be a linear transformation such thatFindT()=1-xT(₁1) = 1 + x + x²T(11)1) = 2x - x²1T₁ =2+x-2x²(a) T (ab)2a(b) T (220)3a 4a

You will use the property of linear transformation to find the transformation in part (a) and (b).

Answered: 1. Let T: M2x2→→ P₂ be a linear…

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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1. Let T: M2x2→→ P₂ be a linear transformation such that Find T()=1-x T₁=1+x+x² T(₁¹)=2x-x² TG1 T₁₁₁ =2+x-2x² (a) T (ab) (b) T (a 2a) 3a 4a