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The linear operator T: R→ R is defined by the following equation wi = 2r1 + 2x2+ 3r3 wz = -x1 - 12 +x3 wz = -3r1 - 2r2 - ra Which of the following is correct. (a) T is not one to one. (b) T is one to one but the standard matrix for T-1 does not exist. (c) T is one to one and its standard matrix for T- is 2 3 (d) T is one to one and its standard matrix for T-l is -1 -1 1 -3 -2 -1 (e) None of these 2.

The linear operator T: R→ R is defined by the following equation wi = 2r1 + 2x2+ 3r3 wz = -x1 - 12 +x3 wz = -3r1 - 2r2 - ra Which of the following is correct. (a) T is not one to one. (b) T is one to one but the standard matrix for T-1 does not exist. (c) T is one to one and its standard matrix for T- is 2 3 (d) T is one to one and its standard matrix for T-l is -1 -1 1 -3 -2 -1 (e) None of these 2.

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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2. The linear operator T: R* → R* is defined by the following equation wi = 2x, + 2x2 + 3r3 %3D w2 = -a1 - x2 + x3 wz = -3x1 – 2.x2 - a3 Which of the following is correct. (a) T is not one to one. (b) T is one to one but the standard matrix for T-1 does not exist. (c) T is one to one and its standard matrix for T- is 2 3 (d) T is one to one and its standard matrix for T-1 is -1 1 1 -2 (e) None of these a bcde O 115 2.
Transcribed Image Text:2. The linear operator T: R* → R* is defined by the following equation wi = 2x, + 2x2 + 3r3 %3D w2 = -a1 - x2 + x3 wz = -3x1 – 2.x2 - a3 Which of the following is correct. (a) T is not one to one. (b) T is one to one but the standard matrix for T-1 does not exist. (c) T is one to one and its standard matrix for T- is 2 3 (d) T is one to one and its standard matrix for T-1 is -1 1 1 -2 (e) None of these a bcde O 115 2.
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