Let AX = B represents a system of equations where A is 2x3 real matrix. The system is known to be inconsistent. The highest possible rank of A is. A) 2 B) 3 C) 1 D) Can’t be determined
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Answer:
1
Step-by-step explanation:
Ax = B
[A]2×3 , system is inconsistent
when R(A)=R (A/B)both are equal value then consistent .
but this is saying in this question system is inconsistent so , R(A)not equal to R(A/B).
R(A)= 2 ,R(A/B)= 2
but these are not similar because it is consistent, so
R(A ) should be less than 2,
so right answer is 1 .
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