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If for some andin R , the system of equations has many solutions , then
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3
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5
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7
d
11
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Correct option is C
The condition for a non-homogeneous system of equations to have infinitely many solutions is Δ=Δ1=Δ2=Δ3=0. NowΔ=0⇒14-217-515α=0⇒17α+25-4α+5-25-7=0⇒3α=-9⇒α=-3Also Δ3=0⇒14117β155=0⇒135-5β-45-β+15-7=0⇒13-β=0⇒β=13∴2α+β=7Similar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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