A linear system of equations has n unknowns. The ranks of the coefficient matrix and the augmented matrix of the linear system of equations are $\mathbf{r}_{1}$ and $\mathbf{r}_{2}$, respectively. The condition for the equations to be consistent with a unique solution is

(A) $\mathbf{r}_{1}$ > $\mathbf{r}_{2}$

(B) $\mathrm{r}_{1}=\mathrm{r}_{2}=\mathrm{n}$
(C) $\mathbf{r}_{1}$=$\mathbf{r}_{2}$

(D) $r_{1} \neq r_{2}>n$

Question ID - 157497 | SaraNextGen Top Answer

 A linear system of equations has n unknowns. The ranks of the coefficient matrix and the augmented matrix of the linear system of equations are $\mathbf{r}_{1}$ and $\mathbf{r}_{2}$, respectively. The condition for the equations to be consistent with a unique solution is

(A) $\mathbf{r}_{1}$ > $\mathbf{r}_{2}$

(B) $\mathrm{r}_{1}=\mathrm{r}_{2}=\mathrm{n}$
(C) $\mathbf{r}_{1}$=$\mathbf{r}_{2}$

(D) $r_{1} \neq r_{2}>n$