Question

A non-homogeneous system of linear equation \(AX=B\) of \(n\) unknowns is called consistent if:

• A. \(\operatorname{Rank}(A)=n\)
• B. \(\operatorname{Rank}(A:B)=n\)
• C. \(\operatorname{Rank}(A:B)=\operatorname{Rank}(A)=0\)
• D. \(\operatorname{Rank}(A)<\operatorname{Rank}(A:B)\)

Hint:

For consistency, remember the general condition \(\operatorname{Rank}(A)=\operatorname{Rank}(A:B)\).

Answer 1

The Correct Option is B