In Exercises 21 and 22, mark each statement

Chapter 8, Problem 21E

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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 thatn.c. If a hyperplane strictly separates sets A and B, thend. If A and B are closed convex sets andthen there exists a hyperplane that strictly separates A and B.

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