Problem (i) (ii) (iii 3. Determine h and k such that the solution set of the system is empty, contains a unique solution, and contains infinitely many solutions. Give separate answers for each part. (2x₁ + 5x₂ = k (8x₁ + hx₂ = 12

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Problem 3. Determine h and k such that the solution set of the system is
(i)
empty,
contains a unique solution, and
(iii) contains infinitely many solutions.
Give separate answers for each part.
2x₁ + 5x₂ = k
(8x₁ + hx₂ = 12
Transcribed Image Text:Problem 3. Determine h and k such that the solution set of the system is (i) empty, contains a unique solution, and (iii) contains infinitely many solutions. Give separate answers for each part. 2x₁ + 5x₂ = k (8x₁ + hx₂ = 12
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