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The system of linear equations
(4a – 1)x + y + z = 0
-y + z = 0
(4a – 1) z = 0
has a non-trivial solution, if a equals
  • a)
    1/2
  • b)
    1/4
  • c)
    3/4
  • d)
    1
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The system of linear equations(4a – 1)x + y + z = 0-y + z = 0(4a...
The system of homogeneous linear equations has a non – trivial solution if

(4a – 1)2 = 0
a = 1/4 
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Most Upvoted Answer
The system of linear equations(4a – 1)x + y + z = 0-y + z = 0(4a...
The system of homogeneous linear equations has a non – trivial solution if

(4a – 1)2 = 0
a = 1/4 
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The system of linear equations(4a – 1)x + y + z = 0-y + z = 0(4a – 1) z = 0has a non-trivial solution, if a equalsa)1/2b)1/4c)3/4d)1Correct answer is option 'B'. Can you explain this answer?
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