The product of an m × n matrix A and a scalar $\alpha$ is an m × n matrix whose elements are the arithmetic products of $\alpha$ and the elements of A.
| $$\mathbf{C}=\alpha\cdot\mathbf{A}$$ | (7) |
implies
| $$c_{ij}=\alpha\cdot{a}_{ij},\mbox{ where }1 \leq i \leq m \mbox{ and }1 \leq j \leq n$$ | (8) |