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1. The linear operator T: R3 → R is defined by the following equation Wi = 2x1 + 2x2 +3x3 W2 = -x1 – X2 + 23 w3 = -3.x1 – 2x2 - x3

1. The linear operator T: R3 → R is defined by the following equation Wi = 2x1 + 2x2 +3x3 W2 = -x1 – X2 + 23 w3 = -3.x1 – 2x2 - x3

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. The linear operator T : R3 → R³ is defined by the following equation Wi = 2.x1 + 2x2 + 3x3 W2 = -x1 – x2 +x3 w3 = -3x1 – 2x2 – x3 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. 1 (c) T is one to one and its standard matrix for T-1 is 2 3 (d) T is one to one and its standard matrix for T-1 is -1 -1 1 -3 -2 -1 (e) None of these a b d e
Transcribed Image Text:1. The linear operator T : R3 → R³ is defined by the following equation Wi = 2.x1 + 2x2 + 3x3 W2 = -x1 – x2 +x3 w3 = -3x1 – 2x2 – x3 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. 1 (c) T is one to one and its standard matrix for T-1 is 2 3 (d) T is one to one and its standard matrix for T-1 is -1 -1 1 -3 -2 -1 (e) None of these a b d e
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