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In what area are operations on matrices used?
Where are matrix operations used, such as matrix multiplication?
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In computer graphics, and not only matrices. There, in principle, a lot of linear algebra and analytic geometry. Here I think it will be exhaustive for you.
Matrices are, in principle, widely applicable, for example, with the help of them it is convenient to solve systems of linear equations.
1) Computer graphics (3D): DirectX
2) MatLab = Matrix Laboratory. The whole package is based on operations on matrices. The code is very clear and short (no loops needed).
Everywhere! In any section of science and technology you will find where you can apply the matrix. It happens like this. A mathematical model is built that describes some process or object. Such a model is basically a number of equations. Equations can be very different - ranging from simple linear to complex integro-differential equations. Such models are quite bulky, so it is convenient to represent them more compactly in matrix form.
My favorite example is regression.
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