Consider the following system of linear equations : $$2x_1 - x_2 + 3x_3 = 1$$ $$3x_1 + 2x_2 + 5x_3 = 2$$ $$-x_1+4x_2+x_3 = 3$$ The system of equations has
when rank of matrix = rank of augmented matrix < no of unknown
@Angkit rank(r)>n this case will never arise
Determinant of matrix =14 which is non zero
If The determinant of the coefficient matrix is non zero then definitely the system of given equation has a unique solution
so option B