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Matrix multiplication | 2/7 Session Links |
Matrix multiplication looks complicated. When first learning it, you might have the reaction, “What does this have to do with me?” The short answer is that it captures in a neat package a long series of complex manipulations that we would otherwise have to perform more explicitly.
By introducing the formalism of matrices, we can move our thinking to a higher level. No longer need we be concerned with specific cells and cell formulas. Matrices give us a way of manipulating blocks of data instead of a series of manipulations of cells.
Last Modified: Wednesday, 27-Apr-2016 04:15:26 EDT
For many of you, matrix multiplication and array arithmetic are new ideas. It’s easy to get lost in the details of how they work and then forget about why we use them.
To keep a clear view of the forest and avoid focusing only on the trees, remember why we use matrix multiplication and array arithmetic. Briefly, we use them because we find that it’s very often helpful to decompose a problem into parts (analysis), then do calculations on the parts, and finally reassemble the final solution from the results of those partial calculations (synthesis).
Matrix multiplication and array arithmetic provide us with very convenient methods for performing those intermediate calculations on the parts. They’re the tools that make analysis and synthesis so powerful.