Suppose T: R³→R² is a linear transformation. Let u, v and w be the vectors given below, and suppose that T(u) and T(v) are as given. Find T(w).113u=-300T(w) = 0-2W =-3-98T(u) =T(v) =9-7

The given vectors are u=12-3, v=15-2, w=-3-98 And Tu=-30, Tv=9-7 We have to find Tw.

Answered: Suppose T: R³-R² is 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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Suppose T: R³-R² is a linear transformation. Let u, v and w be the vectors given below, and suppose that T(u) and T(v) are as given. Find T(w). 1 9 ---B u= 2 V = 5 W = -9 T(u) -3 0 T(w) = 0 0 -3 8 -[3] = T(v)