In Exercises 23 and 24, mark each statement True or False. Justify each answer.a. A homogeneous equation is always consistent.b. The equation Ax = 0 gives an explicit description of its solution set.c. The homogeneous equation Ax = 0 has the trivial solution if and only if the equation has at least one free variable.d. The equation x = p + t v describes a line through v parallel to p.e. The solution set of Ax = b is the set of all vectors of the form w = p + vh, where vh is any solution of the equation Ax = 0.

Calculus III (Professor Whittlesey) : Week 1 Notes (12.112.2) Review...