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+1 vote
3.2k views
in Applications of Matrices and Determinants by (48.7k points)
closed by

In a system of 3 linear non-homogeneous equations with three unknowns, if ∆ = 0 and ∆x = 0, ∆y ≠ 0 and ∆z = 0, then the system has ….. 

(a) unique solution 

(b) two solutions

(c) infinitely many solutions 

(d) no solution

1 Answer

+1 vote
by (49.4k points)
selected by
 
Best answer

(d) no solution

When ∆ = 0 ∆x, 

∆z = 0 but ∆y ≠ 0 

⇒ that the system is inconsistent. 

∴ There is no solution.

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