(1 point) True False Problem Mark each statement as true or false. Remember that a mathematical statement is said to be true if it is always true, under all circumstances a. If z is a nontrivial solution of Ar = 0, then every entry of zis nonzero. False b. A homogeneous system is always consistent, True c. The homogeneous system A. True O has the trivial solution if and only if the system has at least one free variable d. There is a vector C] so that the set of solutions to 39 N-.... is the s-axis False e. The solution set of a consistent inhomogeneous system Ar = b is obtained by translating the solution set of Az = 0 False f. The equation Ax = b is homogenous if the zero vector is a solution. False