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Consider the system of simultaneous equations
x + 2y + z = 6
2x + y + 2z =  6
x + y +  z = 5
This system has 
  • a)
    Unique solution
  • b)
    Infinite number of solutions
  • c)
    No solution
  • d)
    Exactly two solution
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Consider the system of simultaneous equationsx + 2y + z = 62x + y + 2z...

∴ rank(A) = 2 ≠ 3 = rank() .
∴ The system is inconsistent and has no solution.
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Consider the system of simultaneous equationsx + 2y + z = 62x + y + 2z = 6x + y + z = 5This system hasa)Unique solutionb)Infinite number of solutionsc)No solutiond)Exactly two solutionCorrect answer is option 'C'. Can you explain this answer?
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