EXERCISE 3. Consider the system 12 + 3r3 12 - 13 + 2r4 = 2 I4 = 1 (a) Described the solution set where the variables r3 and x4 are free. (b) Described the solution set where the variables r2 and 14 are free. (c) Show that the two solution sets obtained are equivalent [ {(3 – 2s – t, 2+ s – 2t, s, t)\s, t € R}; {(7 – 2u – 5v, u, -2+ u + 2v, v)|u, v € R}; set u = 2+ s – 2t, v = t, the solution set in part(b) is identical to the solution set in part (a) ]

EXERCISE 3. Consider the system 12 + 3r3 12 - 13 + 2r4 = 2 I4 = 1 (a) Described the solution set where the variables r3 and x4 are free. (b) Described the solution set where the variables r2 and 14 are free. (c) Show that the two solution sets obtained are equivalent [ {(3 – 2s – t, 2+ s – 2t, s, t)\s, t € R}; {(7 – 2u – 5v, u, -2+ u + 2v, v)|u, v € R}; set u = 2+ s – 2t, v = t, the solution set in part(b) is identical to the solution set in part (a) ]

Name: Can someone explain the concept of free variable and how to go about a
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Description: Can someone explain the concept of free variable and how to go about approaching such questions? EXERCISE 3. Consider the system12 + 3x31T3+ 2x42(a) Described the solution set where the variables x3 and x4 are free.(b) Described the solution set wher

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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