: How does a matrix equation increases speed of system ?
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Matrix calculations involve several multiplications at the same time with the same products and then a quick addition at the end. This is things which can easily be implemented in hardware. Firstly you can use several hardware multiplication circuits and secondly they can share a lot of the circuit because they share one of the input numbers. So a hardware matrix multiplicator can perform all the calculations in the same time a normal multiplicator can do one calculations.
The other trick that is being done is that a lot of times you want to do multiple matrix operations on many vectors. Instead of doing one matrix operation on all the vectors before moving on to another matrix operation it is possible to multiply the matrixes together first in one small operation, and then apply this single matrix to all the vectors.
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