Important Mathematical Operations

The basic matrix operations that we will deal with are addition and subtraction $$\begin{equation} \mathbf{A}= \mathbf{B}\pm\mathbf{C} \Longrightarrow a_{ij} = b_{ij}\pm c_{ij}, \tag{1} \end{equation}$$ scalar-matrix multiplication $$\begin{equation} \mathbf{A}= \gamma\mathbf{B} \Longrightarrow a_{ij} = \gamma b_{ij}, \tag{2} \end{equation}$$ vector-matrix multiplication

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