following questions:

Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. 4 -2 5 h - 10 . . . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrix is the augmented matrix of a consistent linear system if h = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. The matrix is the augmented matrix of a consistent linear system if h # (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O C. The matrix is the augmented matrix of a consistent linear system for every value of h. O D. The matrix is not the augmented matrix of a consistent linear system for any value of h.N N Let u = and v = Show that is in Span {u,v} for all h and k. O D. Determine if the system containing u, v, and b is consistent. If the system is inconsistent, then b is in Span {u,v}. Let b = Find the augmented matrix [u v b]. 2 2 h -1 1 k How is a system determined as consistent? O A. A system is consistent if there are no solutions. O B. A system is consistent if there is one solution or infinitely many solutions. O C. A system is consistent only if all of the variables equal each other. O D. Solve for the variables after setting the equations equal to 0. Row reduce the augmented matrix to its reduced echelon form. 2 2 h 2 2 h (2k + h) - 1 1 k 0 2 2 The system is consistent for all values of h and k. So it can be stated that is in Span {u,v} for all values of h and k