Problem
What is the result of the scalar 5 multiplied by the 2x2 identity matrix?
Solution
Step 1 ：Step 1: Write down the 2x2 identity matrix \[I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\]
Step 2 ：Step 2: Multiply every element in the identity matrix by the scalar 5 \[5I = 5 \times \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}\]
