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1. For which values of a will the following system have (a): no solution, (b): Unique solution, (c): Infinitely many solutions? x + 2y- 3z = 4 Зх — у+ 5z = 2 4т + у+(а? — 14)х —D а +2

1. For which values of a will the following system have (a): no solution, (b): Unique solution, (c): Infinitely many solutions? x + 2y- 3z = 4 Зх — у+ 5z = 2 4т + у+(а? — 14)х —D а +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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U. For which values of a will the following system have (a): no solution, (b): Unique solution, (c): Infinitely many solutions? 3z = 4 5z = 2 4x + y+(a² – 14)z = a +2 x + 2y- 3x – y+ 2. Solve the following system of equations for the unknowns a, ß and y where 0 <a < 2m, 0 < B < 2n and 0 < a <n 2 sin a – cos 3 +3 tan y = 3 4 sin a + 2 cos 3 – 2 tan y = 2 6 sin a – 3 cos B + tan y = 9
Transcribed Image Text:U. For which values of a will the following system have (a): no solution, (b): Unique solution, (c): Infinitely many solutions? 3z = 4 5z = 2 4x + y+(a² – 14)z = a +2 x + 2y- 3x – y+ 2. Solve the following system of equations for the unknowns a, ß and y where 0 <a < 2m, 0 < B < 2n and 0 < a <n 2 sin a – cos 3 +3 tan y = 3 4 sin a + 2 cos 3 – 2 tan y = 2 6 sin a – 3 cos B + tan y = 9
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