QUESTION #1 CONTINUEDc. T:R³ → R² defined by T(x, y, z) = (3x + y, z). 1. Which of the following transformations are linear?a. T: M→M defined by T (A) = A + I where A € M, and I is thenxn identity matrix.b. T: R² R³ defined by T(x, y) = (2x, x - y,0).

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Answered: 1. Which of the following…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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1. Which of the following transformations are linear? a. T: M→M_defined by T(A) = A + I where A € M nxn identity matrix. b. T: R² R³ defined by T'(x,y) = (2x, x - y,0). and is the