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The system of the equations,
x – 4y + 7z = 14
3x + 8y – 2z = 13
7x – 8y + 26z = 5
is :
  • a)
    Consistent and (0, 0, 0)T is the only solution
  • b)
    Inconsistent
  • c)
    Consistent and infinitely number of solutions are there
  • d)
    Consistent and (–1, 2, 1)T is the only solution.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The system of the equations,x– 4y+ 7z= 143x+ 8y– 2z= 137x&...
Then, consider the augmented matrix,

 
∵  Rank A ≠ Rank [A : B]
∴  The system is inconsistent.
The correct answer is: Inconsistent
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Most Upvoted Answer
The system of the equations,x– 4y+ 7z= 143x+ 8y– 2z= 137x&...
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