Question

Given A and C are coefficient and augmented matrices respectively for a system of linear equations. Which of the following cases tells if the equations are consistent?

• A. Rank of A > Rank of C
• B. Rank of A < Rank of C
• C. Rank of A = Rank of C
• D. None of these

Answer 1

The correct option is C

Rank of A = Rank of C

The given equations are consistent only if the rank of A = Rank of C. If Rank of A $\ne$ rank of C then it is an inconsistent system of linear equation.