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For what value of λ, the simultaneous equation 2x + 3y = 1,4x + 6y = λ have infinite solutions?
Correct answer is '2'. Can you explain this answer?
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Most Upvoted Answer
For what value of λ, the simultaneous equation 2x + 3y = 1,4x +...
Given,
2x + 3y = 1
4x + 6y = λ
We know that,
Non-homogeneous equation of type Ax = B has infinite solutions; if ρ(A ∣ B) = ρ(A) < Number of unknowns.
The augmented matrix is given by:
For the system to have infinite solutions, the last row must be a fully zero row.
So, if λ = 2 then the system of equations has infinitely many solutions.
Hence, the correct answer is 2.
2x + 3y = 1
4x + 6y = λ
We know that,
Non-homogeneous equation of type Ax = B has infinite solutions; if ρ(A ∣ B) = ρ(A) < Number of unknowns.
The augmented matrix is given by:
For the system to have infinite solutions, the last row must be a fully zero row.
So, if λ = 2 then the system of equations has infinitely many solutions.
Hence, the correct answer is 2.
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For what value of λ, the simultaneous equation 2x + 3y = 1,4x +...
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For what value of λ, the simultaneous equation 2x + 3y = 1,4x + 6y = λ have infinite solutions?Correct answer is '2'. Can you explain this answer?
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