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Consider the following equations
x + y + w = 0
y + z = 0
x + y + z + w = 0
x + y + 2z = 0
The system of equations will be
  • a)
    consistent having a unique solution but not trivial
  • b)
    consistent having many solutions
  • c)
    consistent having a trivial solution
  • d)
    inconsistent having no solution
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the following equationsx + y + w = 0y + z = 0x + y + z + w = ...
The above system of equations can be written as AX = B
∴ Rank (A) = Rank (A | B ) = number of variables = 4
∴ The system is consistent having unique solution and it can be observed that the solution can only be trivial, i.e., x = y = z = w = 0.
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Consider the following equationsx + y + w = 0y + z = 0x + y + z + w = 0x + y + 2z = 0The system of equations will bea)consistent having a unique solution but not trivialb)consistent having many solutionsc)consistent having a trivial solutiond)inconsistent having no solutionCorrect answer is option 'C'. Can you explain this answer?
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Consider the following equationsx + y + w = 0y + z = 0x + y + z + w = 0x + y + 2z = 0The system of equations will bea)consistent having a unique solution but not trivialb)consistent having many solutionsc)consistent having a trivial solutiond)inconsistent having no solutionCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the following equationsx + y + w = 0y + z = 0x + y + z + w = 0x + y + 2z = 0The system of equations will bea)consistent having a unique solution but not trivialb)consistent having many solutionsc)consistent having a trivial solutiond)inconsistent having no solutionCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following equationsx + y + w = 0y + z = 0x + y + z + w = 0x + y + 2z = 0The system of equations will bea)consistent having a unique solution but not trivialb)consistent having many solutionsc)consistent having a trivial solutiond)inconsistent having no solutionCorrect answer is option 'C'. Can you explain this answer?.
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