Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y – 2z = 1 2х — у + 2z %3 3 4x + 5y + (a² – 11)z = a + 2 For a i there is no solution. For a - i there are infinitely many solutions. For at+ i the system has exactly one solution.
Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y – 2z = 1 2х — у + 2z %3 3 4x + 5y + (a² – 11)z = a + 2 For a i there is no solution. For a - i there are infinitely many solutions. For at+ i the system has exactly one solution.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.1: Systems Of Two Linear Equations In Two Variables
Problem 91PS
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