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For what value of λ, do the simultaneous equation 2x + 3y = 1, 4x + 6y = λ have infinite solutions?
  • a)
    λ = 0 
  • b)
    λ = 1
  • c)
    λ ≠ 2
  • d)
    λ = 2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4...
Concept:
Non-homogeneous equation of type AX = B has infinite solutions;
if ρ(A | B) = ρ(A) < Number of unknowns
Calculation:
Given:
2x + 3y = 1
4x + 6y = λ
The augmented matrix is given by:
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For what value ofλ, do the simultaneous equation 2x + 3y = 1, 4x + 6y =λ have infinite solutions?a)λ = 0b)λ = 1c)λ ≠ 2d)λ = 2Correct answer is option 'D'. Can you explain this answer?
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