Questions
Given , then the value of such that the given system of equations has no solution is
detailed solution
Correct option is B
The condition for a non-homogeneous system to have a no solution is rankA≠rankAD Now, augmented matrix AD=2-1221-21-411λ4 R2→2R2-R1, R3→2R3-R1 ~2-1220-30-10032λ-26 R3→R3+R2 ~2-1220-30-10002λ-2-4 If 2λ-2=0, then rankA=2,rankAD=3 so that rankA≠rankAD. ∴2λ-2=0⇒λ=1Similar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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