Problem

Find the result of the scalar 5 multiplied by the 2x2 identity matrix.

Answer

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Answer

Multiply each entry in the identity matrix by the scalar. This gives \(5I = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}\)

Steps

Step 1 ：Firstly, the 2x2 identity matrix is given by \(I = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}\)

Step 2 ：Multiply each entry in the identity matrix by the scalar. This gives \(5I = \begin{bmatrix} 5 & 0 \\ 0 & 5 \end{bmatrix}\)

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