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5. Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions x + 2y + z = 2 2х — 2у + 3z %3 1 (x+2y – (a² – 3)z = a

5. Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions x + 2y + z = 2 2х — 2у + 3z %3 1 (x+2y – (a² – 3)z = a

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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Question
please solve question (5)
4. In each part solve the linear system by the elimination method -2y + 3z = 1 3х + 6у — 3z %3D —9 бх + 6у + 3z %3D 5 а. 2x1 + x2 X2 + 3x3 – 2x4 = 0 2х1 + 3x2 + 2хз — Х4 — 0 -4x1 – 3x2 + 5x3 – 4x4 = 0 4xз + 3х4 — 0 | b. 5. Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions x + 2y + z = 2 2х — 2у + 3z %3D1 х + 2у — (а? — 3)z %3Dа
Transcribed Image Text:4. In each part solve the linear system by the elimination method -2y + 3z = 1 3х + 6у — 3z %3D —9 бх + 6у + 3z %3D 5 а. 2x1 + x2 X2 + 3x3 – 2x4 = 0 2х1 + 3x2 + 2хз — Х4 — 0 -4x1 – 3x2 + 5x3 – 4x4 = 0 4xз + 3х4 — 0 | b. 5. Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions x + 2y + z = 2 2х — 2у + 3z %3D1 х + 2у — (а? — 3)z %3Dа
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