Chapter 4.6, Problem 4TFR

For Questions (a)-(k), decide if the given statement is true or false, and give a brief justification for your answer. If true, you can quote a relevant definition for your answer. If true, you can quote a relevant definition or theorem from the text. If false, provide an example, illustrations, or brief explanation of why the statement is false.

$\dim [P_n(ℝ)]=\dim [{ℝ}^n]$