Chapter 4.1, Problem 48E

To determine

To find: If $L\left({ℝ}^m,{ℝ}^n\right)$ a subspace of $F\left({ℝ}^m,{ℝ}^n\right)$ , the space of all funcitons from ${ℝ}^m\text{ to }{ℝ}^n$

Justify your answer carefully.