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- Apr 14, 2013

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Let $1\leq n,m\in \mathbb{N}$ and let $\phi, \psi:\mathbb{R}^n\rightarrow \mathbb{R}^m$ be linear maps. Let $\lambda\in \mathbb{R}$.

Show the following:

- $M(\phi +\psi )=M(\phi )+M(\psi )$
- $M(\lambda \phi )=\lambda M(\phi )$

What exactly is $M$, it is not defined in this exercise? Is it a matrix?