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(1) Which of the following linear transformations is 1-1? (a) T(1,y) = (x + y,r+y) (b) T(r,y) =2r + 3y (c) T(z,y, 2) = (2r - 3y, r-4y) (d) T(1,y, 2) = (-y, 3z, 82) (e) T(1,y, 2) = (z + y,y+,1 + 2y + 2) %3D

(1) Which of the following linear transformations is 1-1? (a) T(1,y) = (x + y,r+y) (b) T(r,y) =2r + 3y (c) T(z,y, 2) = (2r - 3y, r-4y) (d) T(1,y, 2) = (-y, 3z, 82) (e) T(1,y, 2) = (z + y,y+,1 + 2y + 2) %3D

Advanced Engineering Mathematics
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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(1) Which of the following lincear transformations is 1-1? (a) T(1,y) = (x + y,z+y) (b) T(1, y) = 2r + 3y (c) T(1,y, =) = (2r- 3y, r-4y) (d) T(1,y, 2) = (-y,3z, 82) (e) T(1,y, 2) = (z + y,y+ ,1 + 2y + 2) %3D (2) Which one of the following matrices is invertible? 3 -6 (c) -3 (a) 1 0-1 (e) -1 -1 2 3 -2 -1 41-3 (b) o o 0 0 0 0 0 (d) 100 0 5 0
Transcribed Image Text:(1) Which of the following lincear transformations is 1-1? (a) T(1,y) = (x + y,z+y) (b) T(1, y) = 2r + 3y (c) T(1,y, =) = (2r- 3y, r-4y) (d) T(1,y, 2) = (-y,3z, 82) (e) T(1,y, 2) = (z + y,y+ ,1 + 2y + 2) %3D (2) Which one of the following matrices is invertible? 3 -6 (c) -3 (a) 1 0-1 (e) -1 -1 2 3 -2 -1 41-3 (b) o o 0 0 0 0 0 (d) 100 0 5 0
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