Matrix notation provides a very compact way of describing certain well-defined numerical operations. As such it saves writing and reading effort in written communication about numerical operations. This applies to communication between one human being and another. It also applies to machine-programming. For most computers, there is by now a certain body of established programmes, routines, carrying out specific matrix- and vector operations. Reference to such routines saves programming effort. The use of matrix notation has also facilitated the analysis of numerical problems. This refers in particular to the properties of linear equation-systems. Such facilitation is really a corollary of the reduction in effort. Problems, which were formerly too complicated to grasp, now become manageable.
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