8. Let T : R3R³ be a transformation defined by T(x1,x2, x3) = (3x1 +5x3, x2, – x3).(a)Represent T as a matrix with T(x) = Ax.1(b)Determine whether bis in the range(T).1

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Answered: Let T : R3 → R³ be a transformation…

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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Let T : R3 → R³ be a transformation defined by T(x1,x2, x3) = (3x1 +5x3, x2, –x3). (a) Represent T as a matrix with T(x) = Ax. %3D (b)- Determine whether b = is in the range(T).