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Consider the following equations
3x – y – z + 2w = 0
3x + y – z - 2w = 0
12x + 3y – 4z - 6w = 0
The system of equations will be
  • a)
    consistent having a unique solution.
  • b)
    consistent having many solutions.
  • c)
    inconsistent having a unique solution.
  • d)
    inconsistent having no solution.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following equations3x – y – z + 2w = 03x + y ...
The above system of equations can be written as AX = B.
∴ Rank (A) = Rank 2 and number of variables = 4
∴ The system is consistent having many solutions.
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Consider the following equations3x – y – z + 2w = 03x + y ...
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Consider the following equations3x – y – z + 2w = 03x + y – z - 2w = 012x + 3y – 4z - 6w = 0The system of equations will bea)consistent having a unique solution.b)consistent having many solutions.c)inconsistent having a unique solution.d)inconsistent having no solution.Correct answer is option 'B'. Can you explain this answer?
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