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matrix algebra
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matrix algebra

mathematical system
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Matrix algebra is a generalized mathematical system that deals with the operations and relationships among matrices. A matrix is a rectangular array of numbers, called elements, arranged in rows and columns. These matrices can be added, subtracted, multiplied, and divided, allowing for compact and accurate calculations.123

Matrices are fundamental in various fields, including engineering, physics, economics, and statistics, as well as in computer graphics for image transformations. They are particularly useful for solving systems of linear equations and have applications in areas like robotics, healthcare imaging, and secure communication. While matrix multiplication follows associative and distributive laws, it is not commutative, meaning the order of multiplication matters (AB does not always equal BA).32

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