Questions
An ordered pair for which the system of linear equations has a unique solution is
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a
(1, −3)
b
(−3, 1)
c
(2, 4)
d
(−4, 2)
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Correct option is C
The condition for a non-homogeneous system to have a unique solution is Δ≠0⇒1+αβ1α1+β1αβ2≠0⇒R2→R2−R3R1→R1−R3, 10-101-1αβ2 ≠ 0⇒α+β+2≠0⇒(α, β)=(2, 4)is the only possible answerSimilar Questions
The number of matrices whose entries are either and for which the system has exactly two distinct solutions, is
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