Problem

What is the result of the scalar 5 multiplied by the 2x2 identity matrix?

Answer

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Answer

Step 2: Multiply every element in the identity matrix by the scalar 5 \[5I = 5 \times \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}\]

Steps

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 \[5I = 5 \times \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}\]

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