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Consider the system of linear equations
where ai bi ci di are real numbers for 1≤ i ≤3  if  then the above system has 
  • a)
     At most one solution 
  • b)
     always exactly one solution 
  • c)
     more than one but finitely many solutions
  • d)
     infinitely many solutions
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider the system of linear equationswhere ai bi ci di are real numb...
Since Given system of linear equation 
It can be represented as AX = B 
here [A] can have rank 3 or less than 3 
i.e. ρ (A) ≤ 3
and [Ab] have rank 3 as we have given 
case(I) if ρ(A) = 3 
Then ρ(A) = ρ(Ab) 
⇒ system have exactly one solution 
Case(II) if 
ρ(A) < 3 
⇒ system have no solution. 
⇒ system can have at most one solution. 
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Consider the system of linear equationswhere ai bi ci di are real numbers for 1≤ i ≤3 ifthen the above system hasa)At most one solutionb)always exactly one solutionc)more than one but finitely many solutionsd)infinitely many solutionsCorrect answer is option 'A'. Can you explain this answer?
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