Question

38. Find values of h and k so that the linear system has no solutions.

2x1+5x2=-1

hx1+5x2=k

2x1+5x2=-1

hx1+kx2=3

40. Suppose that a linear system with five equations and eight unknowns is in echelon form. How many free variables are there ?

Find an example that meets the given specification

44. A linear system with three equations and three variables that has infinitely many solutions.