Solution: In Exercises 21 and 22, mark each statement True

QUESTION:

In Exercises 21 and 22, mark each statement True or False. Justify each answer.a. A linear transformation from R to Rn is called a linear functional.b. If f is a linear functional defined on Rn, then there exists a real number k such that c. If a hyperplane strictly separates sets A and B, then d. If A and B are closed convex sets and then there exists a hyperplane that strictly separates A and B.