(a) Assume T : R² → R is a linear transformation with T(1,0) = 3 and T(0, 1) = −1. Calculate T(2,5). (b) Given that the linear transformation T : R³ → R² is defined by T(x, y, z) = (x, z), find ker T.

(a) Assume T : R² → R is a linear transformation with T(1,0) = 3 and T(0, 1) = −1. Calculate T(2,5). (b) Given that the linear transformation T : R³ → R² is defined by T(x, y, z) = (x, z), find ker 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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