About Scalar Multiplication

Scalar multiplication involves multiplying each element of a matrix \( A \) by a scalar \( k \). The result matrix \( C \) has elements:

• \( c_{ij} = k \cdot a_{ij} \)

Example: For \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \) and scalar \( k = 2 \), the result is \( \begin{bmatrix} 2 & 4 \\ 6 & 8 \end{bmatrix} \).