Matrix Operations

5. Examples:

   1. $2\begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix} = 2\cdot\begin{bmatrix}1 & 2 \\ 3 & 4\end{bmatrix} = \begin{bmatrix}2\cdot1 & 2\cdot2 \\ 2\cdot3 & 2\cdot4\end{bmatrix} = \begin{bmatrix}2 & 4 \\ 6 & 8\end{bmatrix}$

   2. $-1\begin{bmatrix}3 & -2 \\ 0 & 5\end{bmatrix} = \begin{bmatrix}-3 & 2 \\ 0 & -5\end{bmatrix}$

   Fun Class Activity:
   1. Find a scalar $c \ne 0$ and matrix $A \ne 0$ such that $cA = A$.
   2. What does this tell you about $c$?