8. (BH) Let L : R³ → R3 be defined by () () 1 L(e1) = L(e2) = L(e3) = 1 1 Let W = {L(e1), L(e2), L(e3)} be an ordered basis for R³ and S be the standard basis for R3. (a) Find the representation of L with respect to S and W. (In other words, find wAs.) (b) Find L((1, 2, 3)7) using the matrix obtained in part (a). Express your answer in both S- and W-coordinates.

8. (BH) Let L : R³ → R3 be defined by () () 1 L(e1) = L(e2) = L(e3) = 1 1 Let W = {L(e1), L(e2), L(e3)} be an ordered basis for R³ and S be the standard basis for R3. (a) Find the representation of L with respect to S and W. (In other words, find wAs.) (b) Find L((1, 2, 3)7) using the matrix obtained in part (a). Express your answer in both S- and W-coordinates.

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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