The augmented matrix of a linear system has the forma.Can you decide by inspection whether...

The augmented matrix of a linear system has the form

a.Can you decide by inspection whether the determinant of the coefficient matrix is 0? Explain.

b. Can you decide by inspection whether the linear system has a unique solution for every choice of a, b, c,and d? Explain.

c. Determine the values of a, b, c, and dfor which the linear system is consistent.

d. Determine the values of a, b, c, and dfor which the linear system is inconsistent.

e. Does the linear system have a unique solution or infinitely many solutions?

f. If a= 2, b= 1, c= −1,and d = 4, describe the solution set for the linear system.