Question 4: Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = or 'a 0', then specify a value or comma-separated list of values. 2x1-10x2-4x3 = 0 ax1-5x2+3x3 = 0 —x1+5x2+4x3 = 0 No Solutions: Always Unique Solution: Always Infinitely Many Solutions: Always

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.2: Guassian Eliminationa And Guass-jordan Elimination
Problem 54E
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Question 4:
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely many solutions. You can select 'always', 'never', 'a = or 'a 0', then specify a value or comma-separated list of values.
2x1-10x2-4x3 = 0

ax1-5x2+3x3 = 0

—x1+5x2+4x3 = 0
No Solutions: Always

Unique Solution: Always

Infinitely Many Solutions: Always

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