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The system of linear equations
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a
has infinitely many solutions for α=4
b
is consistent when α=4
c
has a unique solution for |α|=3
d
is inconsistent when |α|=3
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Correct option is D
According to Cramer’s ruleD=11123223α2−1=αa2−3D1=211532α+13α2−1=α2−α+1 Clearly, when α=4⇒D≠0⇒ Unique Solution and |a|=3⇒D=0 and D1≠0The system has no Solution System is in-consistentSimilar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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