Amatrix a is given. determine if the system ax = b (where x and b have the appropriate number of components) has a solution for all choices of b. a = 5 −4 4 2

We can write the system in the following form:

The above system is equivalent to the following equation:

Of course, the above system has solution for any values of b since there is one equation and four variable, there is infinite number of solution each time.