Questions
The system of linear equations for , has
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a
Unique solution
b
Infinite solutions
c
No solutions
d
two solutions
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Correct option is C
We haveΔ=4λ62λ35λ22 =46-10-λ4λ-5λ+64λ-3λ =λ2+6λ-16 =λ+8λ-2 If λ=2, then Δ=0 Now for λ=2, we have Δ1=1026835522=106-10-216-25+616-15 =-16≠0 ∴We have Δ=0 and Δ1≠0 ⇒The system has no solutionSimilar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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