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The system of equations
  • a)
     a unique solutions
  • b)
    finitely many solutions
  • c)
     infinitely many solutions
  • d)
     no solution
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The system of equationsa)a unique solutionsb)finitely many solutionsc)...
We are given that the system of equation,

It may be written in the matrix form as,

Here, the coefficient of matrix is,

and the augmented matrix is given by,

Reduce the system equation in echelon form using the operations
 R1" and
R3 -> R3 - R1
These operation yield:

and also, R3 --> R3 - 2R2

Here, Rank of A = Rank of aug(A) < number of unknowns.
Hence, the given system of equation has infinite many solutions.
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Most Upvoted Answer
The system of equationsa)a unique solutionsb)finitely many solutionsc)...
We are given that the system of equation,

It may be written in the matrix form as,

Here, the coefficient of matrix is,

and the augmented matrix is given by,

Reduce the system equation in echelon form using the operations
 R1" and
R3 -> R3 - R1
These operation yield:

and also, R3 --> R3 - 2R2

Here, Rank of A = Rank of aug(A) < number of unknowns.
Hence, the given system of equation has infinite many solutions.
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The system of equationsa)a unique solutionsb)finitely many solutionsc)infinitely many solutionsd)no solutionCorrect answer is option 'C'. Can you explain this answer?
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